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Finding the Fourth Proportional to 4,061.64, 5,600.40 and 3,000.96

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Solution

The fourth proportional to 4,061.64, 5,600.40 and 3,000.96 is: 4,137.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,061.64 : 5,600.40 = 3,000.96 : x
  2. Step 2: Convert to fraction form
    4,061.64/5,600.40 = 3,000.96/x
  3. Step 3: Cross multiply
    4,061.64x = 5,600.40 × 3,000.96
  4. Step 4: Simplify right side
    4,061.64x = 16,806,576.38
  5. Step 5: Solve for x
    x = 16,806,576.38/4,061.64
  6. Step 6: Final answer
    x = 4,137.88

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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.