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Finding the Fourth Proportional to 5,001.62, 7,502.24 and 1,253.40

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Solution

The fourth proportional to 5,001.62, 7,502.24 and 1,253.40 is: 1,880.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,001.62 : 7,502.24 = 1,253.40 : x
  2. Step 2: Convert to fraction form
    5,001.62/7,502.24 = 1,253.40/x
  3. Step 3: Cross multiply
    5,001.62x = 7,502.24 × 1,253.40
  4. Step 4: Simplify right side
    5,001.62x = 9,403,310.75
  5. Step 5: Solve for x
    x = 9,403,310.75/5,001.62
  6. Step 6: Final answer
    x = 1,880.05

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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.