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Finding the Fourth Proportional to 5,186,774.82, 7,781,318.91 and 1,592,904.45

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Solution

The fourth proportional to 5,186,774.82, 7,781,318.91 and 1,592,904.45 is: 2,389,711.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,186,774.82 : 7,781,318.91 = 1,592,904.45 : x
  2. Step 2: Convert to fraction form
    5,186,774.82/7,781,318.91 = 1,592,904.45/x
  3. Step 3: Cross multiply
    5,186,774.82x = 7,781,318.91 × 1,592,904.45
  4. Step 4: Simplify right side
    5,186,774.82x = 12,394,897,518,608.15
  5. Step 5: Solve for x
    x = 12,394,897,518,608.15/5,186,774.82
  6. Step 6: Final answer
    x = 2,389,711.90

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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.