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Finding the Fourth Proportional to 4,146.16, 5,721.04 and 2,377.44

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Solution

The fourth proportional to 4,146.16, 5,721.04 and 2,377.44 is: 3,280.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,146.16 : 5,721.04 = 2,377.44 : x
  2. Step 2: Convert to fraction form
    4,146.16/5,721.04 = 2,377.44/x
  3. Step 3: Cross multiply
    4,146.16x = 5,721.04 × 2,377.44
  4. Step 4: Simplify right side
    4,146.16x = 13,601,429.34
  5. Step 5: Solve for x
    x = 13,601,429.34/4,146.16
  6. Step 6: Final answer
    x = 3,280.49

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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.