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Finding the Fourth Proportional to 5,191.50, 7,780.54 and 1,900.66

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Solution

The fourth proportional to 5,191.50, 7,780.54 and 1,900.66 is: 2,848.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,191.50 : 7,780.54 = 1,900.66 : x
  2. Step 2: Convert to fraction form
    5,191.50/7,780.54 = 1,900.66/x
  3. Step 3: Cross multiply
    5,191.50x = 7,780.54 × 1,900.66
  4. Step 4: Simplify right side
    5,191.50x = 14,788,161.16
  5. Step 5: Solve for x
    x = 14,788,161.16/5,191.50
  6. Step 6: Final answer
    x = 2,848.53

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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.