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Finding the Fourth Proportional to 3,778,497.60, 5,678,805.60 and 3,291,892.80

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Solution

The fourth proportional to 3,778,497.60, 5,678,805.60 and 3,291,892.80 is: 4,947,474.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,778,497.60 : 5,678,805.60 = 3,291,892.80 : x
  2. Step 2: Convert to fraction form
    3,778,497.60/5,678,805.60 = 3,291,892.80/x
  3. Step 3: Cross multiply
    3,778,497.60x = 5,678,805.60 × 3,291,892.80
  4. Step 4: Simplify right side
    3,778,497.60x = 18,694,019,267,239.68
  5. Step 5: Solve for x
    x = 18,694,019,267,239.68/3,778,497.60
  6. Step 6: Final answer
    x = 4,947,474.17

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