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Finding the Fourth Proportional to 6,337.02, 8,741.58 and 3,684.14

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Solution

The fourth proportional to 6,337.02, 8,741.58 and 3,684.14 is: 5,082.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,337.02 : 8,741.58 = 3,684.14 : x
  2. Step 2: Convert to fraction form
    6,337.02/8,741.58 = 3,684.14/x
  3. Step 3: Cross multiply
    6,337.02x = 8,741.58 × 3,684.14
  4. Step 4: Simplify right side
    6,337.02x = 32,205,204.54
  5. Step 5: Solve for x
    x = 32,205,204.54/6,337.02
  6. Step 6: Final answer
    x = 5,082.07

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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.