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Finding the Fourth Proportional to 5,702.96, 7,867.66 and 3,577.04

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Solution

The fourth proportional to 5,702.96, 7,867.66 and 3,577.04 is: 4,934.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,702.96 : 7,867.66 = 3,577.04 : x
  2. Step 2: Convert to fraction form
    5,702.96/7,867.66 = 3,577.04/x
  3. Step 3: Cross multiply
    5,702.96x = 7,867.66 × 3,577.04
  4. Step 4: Simplify right side
    5,702.96x = 28,142,890.27
  5. Step 5: Solve for x
    x = 28,142,890.27/5,702.96
  6. Step 6: Final answer
    x = 4,934.79

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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.