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Finding the Fourth Proportional to 3,187.16, 4,775.61 and 1,727

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Solution

The fourth proportional to 3,187.16, 4,775.61 and 1,727 is: 2,587.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,187.16 : 4,775.61 = 1,727 : x
  2. Step 2: Convert to fraction form
    3,187.16/4,775.61 = 1,727/x
  3. Step 3: Cross multiply
    3,187.16x = 4,775.61 × 1,727
  4. Step 4: Simplify right side
    3,187.16x = 8,247,478.47
  5. Step 5: Solve for x
    x = 8,247,478.47/3,187.16
  6. Step 6: Final answer
    x = 2,587.72

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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.