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Finding the Fourth Proportional to 5,500.06, 7,584.30 and 4,158.76

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Solution

The fourth proportional to 5,500.06, 7,584.30 and 4,158.76 is: 5,734.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,500.06 : 7,584.30 = 4,158.76 : x
  2. Step 2: Convert to fraction form
    5,500.06/7,584.30 = 4,158.76/x
  3. Step 3: Cross multiply
    5,500.06x = 7,584.30 × 4,158.76
  4. Step 4: Simplify right side
    5,500.06x = 31,541,283.47
  5. Step 5: Solve for x
    x = 31,541,283.47/5,500.06
  6. Step 6: Final answer
    x = 5,734.72

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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.