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Finding the Fourth Proportional to 4,138.04, 5,706.24 and 3,578.06

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Solution

The fourth proportional to 4,138.04, 5,706.24 and 3,578.06 is: 4,934.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,138.04 : 5,706.24 = 3,578.06 : x
  2. Step 2: Convert to fraction form
    4,138.04/5,706.24 = 3,578.06/x
  3. Step 3: Cross multiply
    4,138.04x = 5,706.24 × 3,578.06
  4. Step 4: Simplify right side
    4,138.04x = 20,417,269.09
  5. Step 5: Solve for x
    x = 20,417,269.09/4,138.04
  6. Step 6: Final answer
    x = 4,934.04

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.