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Finding the Fourth Proportional to 3,769,308.81, 5,656,354.53 and 1,610,350.17

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Solution

The fourth proportional to 3,769,308.81, 5,656,354.53 and 1,610,350.17 is: 2,416,546.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,769,308.81 : 5,656,354.53 = 1,610,350.17 : x
  2. Step 2: Convert to fraction form
    3,769,308.81/5,656,354.53 = 1,610,350.17/x
  3. Step 3: Cross multiply
    3,769,308.81x = 5,656,354.53 × 1,610,350.17
  4. Step 4: Simplify right side
    3,769,308.81x = 9,108,711,478,965.77
  5. Step 5: Solve for x
    x = 9,108,711,478,965.77/3,769,308.81
  6. Step 6: Final answer
    x = 2,416,546.89

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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.