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Finding the Fourth Proportional to 5,035.50, 7,552.02 and 1,915.86

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Solution

The fourth proportional to 5,035.50, 7,552.02 and 1,915.86 is: 2,873.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,035.50 : 7,552.02 = 1,915.86 : x
  2. Step 2: Convert to fraction form
    5,035.50/7,552.02 = 1,915.86/x
  3. Step 3: Cross multiply
    5,035.50x = 7,552.02 × 1,915.86
  4. Step 4: Simplify right side
    5,035.50x = 14,468,613.04
  5. Step 5: Solve for x
    x = 14,468,613.04/5,035.50
  6. Step 6: Final answer
    x = 2,873.32

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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.