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Finding the Fourth Proportional to 5,742.56, 7,915.52 and 4,324.16

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Solution

The fourth proportional to 5,742.56, 7,915.52 and 4,324.16 is: 5,960.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,742.56 : 7,915.52 = 4,324.16 : x
  2. Step 2: Convert to fraction form
    5,742.56/7,915.52 = 4,324.16/x
  3. Step 3: Cross multiply
    5,742.56x = 7,915.52 × 4,324.16
  4. Step 4: Simplify right side
    5,742.56x = 34,227,974.96
  5. Step 5: Solve for x
    x = 34,227,974.96/5,742.56
  6. Step 6: Final answer
    x = 5,960.40

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1.5x scale

Why These Related Problems?

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