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Finding the Fourth Proportional to 5,615.48, 7,752.96 and 5,025

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Solution

The fourth proportional to 5,615.48, 7,752.96 and 5,025 is: 6,937.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,615.48 : 7,752.96 = 5,025 : x
  2. Step 2: Convert to fraction form
    5,615.48/7,752.96 = 5,025/x
  3. Step 3: Cross multiply
    5,615.48x = 7,752.96 × 5,025
  4. Step 4: Simplify right side
    5,615.48x = 38,958,624
  5. Step 5: Solve for x
    x = 38,958,624/5,615.48
  6. Step 6: Final answer
    x = 6,937.72

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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.