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Finding the Fourth Proportional to 5,165.48, 7,748.24 and 2,046.23

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Solution

The fourth proportional to 5,165.48, 7,748.24 and 2,046.23 is: 3,069.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,165.48 : 7,748.24 = 2,046.23 : x
  2. Step 2: Convert to fraction form
    5,165.48/7,748.24 = 2,046.23/x
  3. Step 3: Cross multiply
    5,165.48x = 7,748.24 × 2,046.23
  4. Step 4: Simplify right side
    5,165.48x = 15,854,632.16
  5. Step 5: Solve for x
    x = 15,854,632.16/5,165.48
  6. Step 6: Final answer
    x = 3,069.35

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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.