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Finding the Fourth Proportional to 3,664,298.60, 5,494,892.70 and 1,771,620.20

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Solution

The fourth proportional to 3,664,298.60, 5,494,892.70 and 1,771,620.20 is: 2,656,678.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,664,298.60 : 5,494,892.70 = 1,771,620.20 : x
  2. Step 2: Convert to fraction form
    3,664,298.60/5,494,892.70 = 1,771,620.20/x
  3. Step 3: Cross multiply
    3,664,298.60x = 5,494,892.70 × 1,771,620.20
  4. Step 4: Simplify right side
    3,664,298.60x = 9,734,862,904,152.54
  5. Step 5: Solve for x
    x = 9,734,862,904,152.54/3,664,298.60
  6. Step 6: Final answer
    x = 2,656,678.39

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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.