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Finding the Fourth Proportional to 5,370.64, 7,411.36 and 3,132.64

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Solution

The fourth proportional to 5,370.64, 7,411.36 and 3,132.64 is: 4,322.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,370.64 : 7,411.36 = 3,132.64 : x
  2. Step 2: Convert to fraction form
    5,370.64/7,411.36 = 3,132.64/x
  3. Step 3: Cross multiply
    5,370.64x = 7,411.36 × 3,132.64
  4. Step 4: Simplify right side
    5,370.64x = 23,217,122.79
  5. Step 5: Solve for x
    x = 23,217,122.79/5,370.64
  6. Step 6: Final answer
    x = 4,322.97

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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.