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Finding the Fourth Proportional to 3,875.24, 5,809.60 and 3,143

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Solution

The fourth proportional to 3,875.24, 5,809.60 and 3,143 is: 4,711.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,875.24 : 5,809.60 = 3,143 : x
  2. Step 2: Convert to fraction form
    3,875.24/5,809.60 = 3,143/x
  3. Step 3: Cross multiply
    3,875.24x = 5,809.60 × 3,143
  4. Step 4: Simplify right side
    3,875.24x = 18,259,572.80
  5. Step 5: Solve for x
    x = 18,259,572.80/3,875.24
  6. Step 6: Final answer
    x = 4,711.86

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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.