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Finding the Fourth Proportional to 3,902.50, 5,854.56 and 1,594

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Solution

The fourth proportional to 3,902.50, 5,854.56 and 1,594 is: 2,391.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,902.50 : 5,854.56 = 1,594 : x
  2. Step 2: Convert to fraction form
    3,902.50/5,854.56 = 1,594/x
  3. Step 3: Cross multiply
    3,902.50x = 5,854.56 × 1,594
  4. Step 4: Simplify right side
    3,902.50x = 9,332,168.64
  5. Step 5: Solve for x
    x = 9,332,168.64/3,902.50
  6. Step 6: Final answer
    x = 2,391.33

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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.