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Finding the Fourth Proportional to 3,711.84, 5,564.88 and 2,045.76

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Solution

The fourth proportional to 3,711.84, 5,564.88 and 2,045.76 is: 3,067.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,711.84 : 5,564.88 = 2,045.76 : x
  2. Step 2: Convert to fraction form
    3,711.84/5,564.88 = 2,045.76/x
  3. Step 3: Cross multiply
    3,711.84x = 5,564.88 × 2,045.76
  4. Step 4: Simplify right side
    3,711.84x = 11,384,408.91
  5. Step 5: Solve for x
    x = 11,384,408.91/3,711.84
  6. Step 6: Final answer
    x = 3,067.05

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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.