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Finding the Fourth Proportional to 5,101.56, 7,639.38 and 4,673.88

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Solution

The fourth proportional to 5,101.56, 7,639.38 and 4,673.88 is: 6,998.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,101.56 : 7,639.38 = 4,673.88 : x
  2. Step 2: Convert to fraction form
    5,101.56/7,639.38 = 4,673.88/x
  3. Step 3: Cross multiply
    5,101.56x = 7,639.38 × 4,673.88
  4. Step 4: Simplify right side
    5,101.56x = 35,705,545.39
  5. Step 5: Solve for x
    x = 35,705,545.39/5,101.56
  6. Step 6: Final answer
    x = 6,998.95

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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.