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Finding the Fourth Proportional to 6,141.76, 8,475.57 and 3,488.61

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Solution

The fourth proportional to 6,141.76, 8,475.57 and 3,488.61 is: 4,814.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,141.76 : 8,475.57 = 3,488.61 : x
  2. Step 2: Convert to fraction form
    6,141.76/8,475.57 = 3,488.61/x
  3. Step 3: Cross multiply
    6,141.76x = 8,475.57 × 3,488.61
  4. Step 4: Simplify right side
    6,141.76x = 29,567,958.26
  5. Step 5: Solve for x
    x = 29,567,958.26/6,141.76
  6. Step 6: Final answer
    x = 4,814.25

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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.