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Finding the Fourth Proportional to 5,471.60, 7,551.44 and 3,114.16

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Solution

The fourth proportional to 5,471.60, 7,551.44 and 3,114.16 is: 4,297.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,471.60 : 7,551.44 = 3,114.16 : x
  2. Step 2: Convert to fraction form
    5,471.60/7,551.44 = 3,114.16/x
  3. Step 3: Cross multiply
    5,471.60x = 7,551.44 × 3,114.16
  4. Step 4: Simplify right side
    5,471.60x = 23,516,392.39
  5. Step 5: Solve for x
    x = 23,516,392.39/5,471.60
  6. Step 6: Final answer
    x = 4,297.90

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.