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Finding the Fourth Proportional to 5,191,999.97, 7,788,737.86 and 1,598,066.42

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Solution

The fourth proportional to 5,191,999.97, 7,788,737.86 and 1,598,066.42 is: 2,397,326.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,191,999.97 : 7,788,737.86 = 1,598,066.42 : x
  2. Step 2: Convert to fraction form
    5,191,999.97/7,788,737.86 = 1,598,066.42/x
  3. Step 3: Cross multiply
    5,191,999.97x = 7,788,737.86 × 1,598,066.42
  4. Step 4: Simplify right side
    5,191,999.97x = 12,446,920,385,309.81
  5. Step 5: Solve for x
    x = 12,446,920,385,309.81/5,191,999.97
  6. Step 6: Final answer
    x = 2,397,326.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.