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Finding the Fourth Proportional to 6,189.57, 8,541.63 and 3,672.95

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Solution

The fourth proportional to 6,189.57, 8,541.63 and 3,672.95 is: 5,068.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,189.57 : 8,541.63 = 3,672.95 : x
  2. Step 2: Convert to fraction form
    6,189.57/8,541.63 = 3,672.95/x
  3. Step 3: Cross multiply
    6,189.57x = 8,541.63 × 3,672.95
  4. Step 4: Simplify right side
    6,189.57x = 31,372,937.20
  5. Step 5: Solve for x
    x = 31,372,937.20/6,189.57
  6. Step 6: Final answer
    x = 5,068.68

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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.