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Finding the Fourth Proportional to 3,902.44, 5,854.10 and 1,304.84

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Solution

The fourth proportional to 3,902.44, 5,854.10 and 1,304.84 is: 1,957.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,902.44 : 5,854.10 = 1,304.84 : x
  2. Step 2: Convert to fraction form
    3,902.44/5,854.10 = 1,304.84/x
  3. Step 3: Cross multiply
    3,902.44x = 5,854.10 × 1,304.84
  4. Step 4: Simplify right side
    3,902.44x = 7,638,663.84
  5. Step 5: Solve for x
    x = 7,638,663.84/3,902.44
  6. Step 6: Final answer
    x = 1,957.41

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1.5x scale

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.