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Finding the Fourth Proportional to 5,915.16, 8,873.24 and 1,532.70

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Solution

The fourth proportional to 5,915.16, 8,873.24 and 1,532.70 is: 2,299.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,915.16 : 8,873.24 = 1,532.70 : x
  2. Step 2: Convert to fraction form
    5,915.16/8,873.24 = 1,532.70/x
  3. Step 3: Cross multiply
    5,915.16x = 8,873.24 × 1,532.70
  4. Step 4: Simplify right side
    5,915.16x = 13,600,007.28
  5. Step 5: Solve for x
    x = 13,600,007.28/5,915.16
  6. Step 6: Final answer
    x = 2,299.18

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.