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Finding the Fourth Proportional to 6,602.86, 9,901.50 and 3,480.92

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Solution

The fourth proportional to 6,602.86, 9,901.50 and 3,480.92 is: 5,219.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,602.86 : 9,901.50 = 3,480.92 : x
  2. Step 2: Convert to fraction form
    6,602.86/9,901.50 = 3,480.92/x
  3. Step 3: Cross multiply
    6,602.86x = 9,901.50 × 3,480.92
  4. Step 4: Simplify right side
    6,602.86x = 34,466,329.38
  5. Step 5: Solve for x
    x = 34,466,329.38/6,602.86
  6. Step 6: Final answer
    x = 5,219.91

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.