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Finding the Fourth Proportional to 5,367.64, 7,406.56 and 3,129.16

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Solution

The fourth proportional to 5,367.64, 7,406.56 and 3,129.16 is: 4,317.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,367.64 : 7,406.56 = 3,129.16 : x
  2. Step 2: Convert to fraction form
    5,367.64/7,406.56 = 3,129.16/x
  3. Step 3: Cross multiply
    5,367.64x = 7,406.56 × 3,129.16
  4. Step 4: Simplify right side
    5,367.64x = 23,176,311.29
  5. Step 5: Solve for x
    x = 23,176,311.29/5,367.64
  6. Step 6: Final answer
    x = 4,317.78

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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.