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Finding the Fourth Proportional to 5,966.30, 8,235.78 and 3,976.13

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Solution

The fourth proportional to 5,966.30, 8,235.78 and 3,976.13 is: 5,488.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,966.30 : 8,235.78 = 3,976.13 : x
  2. Step 2: Convert to fraction form
    5,966.30/8,235.78 = 3,976.13/x
  3. Step 3: Cross multiply
    5,966.30x = 8,235.78 × 3,976.13
  4. Step 4: Simplify right side
    5,966.30x = 32,746,490.75
  5. Step 5: Solve for x
    x = 32,746,490.75/5,966.30
  6. Step 6: Final answer
    x = 5,488.58

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.