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Finding the Fourth Proportional to 6,187.52, 8,538.67 and 3,498.69

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Solution

The fourth proportional to 6,187.52, 8,538.67 and 3,498.69 is: 4,828.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,187.52 : 8,538.67 = 3,498.69 : x
  2. Step 2: Convert to fraction form
    6,187.52/8,538.67 = 3,498.69/x
  3. Step 3: Cross multiply
    6,187.52x = 8,538.67 × 3,498.69
  4. Step 4: Simplify right side
    6,187.52x = 29,874,141.85
  5. Step 5: Solve for x
    x = 29,874,141.85/6,187.52
  6. Step 6: Final answer
    x = 4,828.13

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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.