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Finding the Fourth Proportional to 4,008.84, 5,972.94 and 3,785.28

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Solution

The fourth proportional to 4,008.84, 5,972.94 and 3,785.28 is: 5,639.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,008.84 : 5,972.94 = 3,785.28 : x
  2. Step 2: Convert to fraction form
    4,008.84/5,972.94 = 3,785.28/x
  3. Step 3: Cross multiply
    4,008.84x = 5,972.94 × 3,785.28
  4. Step 4: Simplify right side
    4,008.84x = 22,609,250.32
  5. Step 5: Solve for x
    x = 22,609,250.32/4,008.84
  6. Step 6: Final answer
    x = 5,639.85

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.