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Finding the Fourth Proportional to 4,006.08, 5,976 and 3,539.52

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Solution

The fourth proportional to 4,006.08, 5,976 and 3,539.52 is: 5,280.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,006.08 : 5,976 = 3,539.52 : x
  2. Step 2: Convert to fraction form
    4,006.08/5,976 = 3,539.52/x
  3. Step 3: Cross multiply
    4,006.08x = 5,976 × 3,539.52
  4. Step 4: Simplify right side
    4,006.08x = 21,152,171.52
  5. Step 5: Solve for x
    x = 21,152,171.52/4,006.08
  6. Step 6: Final answer
    x = 5,280.02

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.