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Finding the Fourth Proportional to 3,977.04, 5,915.49 and 3,963.72

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Solution

The fourth proportional to 3,977.04, 5,915.49 and 3,963.72 is: 5,895.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,977.04 : 5,915.49 = 3,963.72 : x
  2. Step 2: Convert to fraction form
    3,977.04/5,915.49 = 3,963.72/x
  3. Step 3: Cross multiply
    3,977.04x = 5,915.49 × 3,963.72
  4. Step 4: Simplify right side
    3,977.04x = 23,447,346.02
  5. Step 5: Solve for x
    x = 23,447,346.02/3,977.04
  6. Step 6: Final answer
    x = 5,895.68

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Why These Related Problems?

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