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Finding the Fourth Proportional to 5,862.56, 8,085.60 and 3,737.43

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Solution

The fourth proportional to 5,862.56, 8,085.60 and 3,737.43 is: 5,154.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,862.56 : 8,085.60 = 3,737.43 : x
  2. Step 2: Convert to fraction form
    5,862.56/8,085.60 = 3,737.43/x
  3. Step 3: Cross multiply
    5,862.56x = 8,085.60 × 3,737.43
  4. Step 4: Simplify right side
    5,862.56x = 30,219,364.01
  5. Step 5: Solve for x
    x = 30,219,364.01/5,862.56
  6. Step 6: Final answer
    x = 5,154.64

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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.