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Finding the Fourth Proportional to 5,642.66, 8,448.30 and 4,251.72

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Solution

The fourth proportional to 5,642.66, 8,448.30 and 4,251.72 is: 6,365.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,642.66 : 8,448.30 = 4,251.72 : x
  2. Step 2: Convert to fraction form
    5,642.66/8,448.30 = 4,251.72/x
  3. Step 3: Cross multiply
    5,642.66x = 8,448.30 × 4,251.72
  4. Step 4: Simplify right side
    5,642.66x = 35,919,837.76
  5. Step 5: Solve for x
    x = 35,919,837.76/5,642.66
  6. Step 6: Final answer
    x = 6,365.76

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.