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Finding the Fourth Proportional to 5,731.63, 7,902.25 and 3,711.46

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Solution

The fourth proportional to 5,731.63, 7,902.25 and 3,711.46 is: 5,117.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,731.63 : 7,902.25 = 3,711.46 : x
  2. Step 2: Convert to fraction form
    5,731.63/7,902.25 = 3,711.46/x
  3. Step 3: Cross multiply
    5,731.63x = 7,902.25 × 3,711.46
  4. Step 4: Simplify right side
    5,731.63x = 29,328,845.27
  5. Step 5: Solve for x
    x = 29,328,845.27/5,731.63
  6. Step 6: Final answer
    x = 5,117.01

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1.5x scale

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.