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Finding the Fourth Proportional to 6,737.68, 9,298.50 and 3,905.92

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Solution

The fourth proportional to 6,737.68, 9,298.50 and 3,905.92 is: 5,390.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,737.68 : 9,298.50 = 3,905.92 : x
  2. Step 2: Convert to fraction form
    6,737.68/9,298.50 = 3,905.92/x
  3. Step 3: Cross multiply
    6,737.68x = 9,298.50 × 3,905.92
  4. Step 4: Simplify right side
    6,737.68x = 36,319,197.12
  5. Step 5: Solve for x
    x = 36,319,197.12/6,737.68
  6. Step 6: Final answer
    x = 5,390.46

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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.