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Finding the Fourth Proportional to 3,477.60, 5,187.36 and 3,149.28

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Solution

The fourth proportional to 3,477.60, 5,187.36 and 3,149.28 is: 4,697.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,477.60 : 5,187.36 = 3,149.28 : x
  2. Step 2: Convert to fraction form
    3,477.60/5,187.36 = 3,149.28/x
  3. Step 3: Cross multiply
    3,477.60x = 5,187.36 × 3,149.28
  4. Step 4: Simplify right side
    3,477.60x = 16,336,449.10
  5. Step 5: Solve for x
    x = 16,336,449.10/3,477.60
  6. Step 6: Final answer
    x = 4,697.62

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.