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Finding the Fourth Proportional to 3,187.43, 4,775.76 and 1,952.27

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Solution

The fourth proportional to 3,187.43, 4,775.76 and 1,952.27 is: 2,925.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,187.43 : 4,775.76 = 1,952.27 : x
  2. Step 2: Convert to fraction form
    3,187.43/4,775.76 = 1,952.27/x
  3. Step 3: Cross multiply
    3,187.43x = 4,775.76 × 1,952.27
  4. Step 4: Simplify right side
    3,187.43x = 9,323,541.78
  5. Step 5: Solve for x
    x = 9,323,541.78/3,187.43
  6. Step 6: Final answer
    x = 2,925.09

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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.