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Finding the Fourth Proportional to 3,711.12, 5,564.52 and 1,402.80

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Solution

The fourth proportional to 3,711.12, 5,564.52 and 1,402.80 is: 2,103.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,711.12 : 5,564.52 = 1,402.80 : x
  2. Step 2: Convert to fraction form
    3,711.12/5,564.52 = 1,402.80/x
  3. Step 3: Cross multiply
    3,711.12x = 5,564.52 × 1,402.80
  4. Step 4: Simplify right side
    3,711.12x = 7,805,908.66
  5. Step 5: Solve for x
    x = 7,805,908.66/3,711.12
  6. Step 6: Final answer
    x = 2,103.38

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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.