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Finding the Fourth Proportional to 6,141.77, 8,475.78 and 3,624.50

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Solution

The fourth proportional to 6,141.77, 8,475.78 and 3,624.50 is: 5,001.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,141.77 : 8,475.78 = 3,624.50 : x
  2. Step 2: Convert to fraction form
    6,141.77/8,475.78 = 3,624.50/x
  3. Step 3: Cross multiply
    6,141.77x = 8,475.78 × 3,624.50
  4. Step 4: Simplify right side
    6,141.77x = 30,720,422.23
  5. Step 5: Solve for x
    x = 30,720,422.23/6,141.77
  6. Step 6: Final answer
    x = 5,001.88

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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.