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Finding the Fourth Proportional to 5,963.76, 8,935.92 and 4,724.46

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Solution

The fourth proportional to 5,963.76, 8,935.92 and 4,724.46 is: 7,078.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,963.76 : 8,935.92 = 4,724.46 : x
  2. Step 2: Convert to fraction form
    5,963.76/8,935.92 = 4,724.46/x
  3. Step 3: Cross multiply
    5,963.76x = 8,935.92 × 4,724.46
  4. Step 4: Simplify right side
    5,963.76x = 42,217,396.60
  5. Step 5: Solve for x
    x = 42,217,396.60/5,963.76
  6. Step 6: Final answer
    x = 7,078.99

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.