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Finding the Fourth Proportional to 6,421.74, 8,862.78 and 3,589.57

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Solution

The fourth proportional to 6,421.74, 8,862.78 and 3,589.57 is: 4,954.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,421.74 : 8,862.78 = 3,589.57 : x
  2. Step 2: Convert to fraction form
    6,421.74/8,862.78 = 3,589.57/x
  3. Step 3: Cross multiply
    6,421.74x = 8,862.78 × 3,589.57
  4. Step 4: Simplify right side
    6,421.74x = 31,813,569.20
  5. Step 5: Solve for x
    x = 31,813,569.20/6,421.74
  6. Step 6: Final answer
    x = 4,954.04

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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.