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Finding the Fourth Proportional to 5,753.76, 7,938 and 3,395.04

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Solution

The fourth proportional to 5,753.76, 7,938 and 3,395.04 is: 4,683.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,753.76 : 7,938 = 3,395.04 : x
  2. Step 2: Convert to fraction form
    5,753.76/7,938 = 3,395.04/x
  3. Step 3: Cross multiply
    5,753.76x = 7,938 × 3,395.04
  4. Step 4: Simplify right side
    5,753.76x = 26,949,827.52
  5. Step 5: Solve for x
    x = 26,949,827.52/5,753.76
  6. Step 6: Final answer
    x = 4,683.86

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Why These Related Problems?

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