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Finding the Fourth Proportional to 4,152.61, 5,731.01 and 3,102.85

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Solution

The fourth proportional to 4,152.61, 5,731.01 and 3,102.85 is: 4,282.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,152.61 : 5,731.01 = 3,102.85 : x
  2. Step 2: Convert to fraction form
    4,152.61/5,731.01 = 3,102.85/x
  3. Step 3: Cross multiply
    4,152.61x = 5,731.01 × 3,102.85
  4. Step 4: Simplify right side
    4,152.61x = 17,782,464.38
  5. Step 5: Solve for x
    x = 17,782,464.38/4,152.61
  6. Step 6: Final answer
    x = 4,282.24

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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.