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Finding the Fourth Proportional to 4,743.67, 6,545.90 and 2,753.90

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Solution

The fourth proportional to 4,743.67, 6,545.90 and 2,753.90 is: 3,800.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,743.67 : 6,545.90 = 2,753.90 : x
  2. Step 2: Convert to fraction form
    4,743.67/6,545.90 = 2,753.90/x
  3. Step 3: Cross multiply
    4,743.67x = 6,545.90 × 2,753.90
  4. Step 4: Simplify right side
    4,743.67x = 18,026,740.24
  5. Step 5: Solve for x
    x = 18,026,740.24/4,743.67
  6. Step 6: Final answer
    x = 3,800.17

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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.