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Finding the Fourth Proportional to 4,737.48, 6,538.20 and 2,748.48

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Solution

The fourth proportional to 4,737.48, 6,538.20 and 2,748.48 is: 3,793.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,737.48 : 6,538.20 = 2,748.48 : x
  2. Step 2: Convert to fraction form
    4,737.48/6,538.20 = 2,748.48/x
  3. Step 3: Cross multiply
    4,737.48x = 6,538.20 × 2,748.48
  4. Step 4: Simplify right side
    4,737.48x = 17,970,111.94
  5. Step 5: Solve for x
    x = 17,970,111.94/4,737.48
  6. Step 6: Final answer
    x = 3,793.18

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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.