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Finding the Fourth Proportional to 5,358.52, 8,019.78 and 5,154.04

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Solution

The fourth proportional to 5,358.52, 8,019.78 and 5,154.04 is: 7,713.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,358.52 : 8,019.78 = 5,154.04 : x
  2. Step 2: Convert to fraction form
    5,358.52/8,019.78 = 5,154.04/x
  3. Step 3: Cross multiply
    5,358.52x = 8,019.78 × 5,154.04
  4. Step 4: Simplify right side
    5,358.52x = 41,334,266.91
  5. Step 5: Solve for x
    x = 41,334,266.91/5,358.52
  6. Step 6: Final answer
    x = 7,713.75

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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.