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Finding the Fourth Proportional to 3,649.04, 5,464.10 and 2,657.78

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Solution

The fourth proportional to 3,649.04, 5,464.10 and 2,657.78 is: 3,979.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,649.04 : 5,464.10 = 2,657.78 : x
  2. Step 2: Convert to fraction form
    3,649.04/5,464.10 = 2,657.78/x
  3. Step 3: Cross multiply
    3,649.04x = 5,464.10 × 2,657.78
  4. Step 4: Simplify right side
    3,649.04x = 14,522,355.02
  5. Step 5: Solve for x
    x = 14,522,355.02/3,649.04
  6. Step 6: Final answer
    x = 3,979.78

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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.