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Finding the Fourth Proportional to 3,116.62, 4,675.86 and 925.42

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Solution

The fourth proportional to 3,116.62, 4,675.86 and 925.42 is: 1,388.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,116.62 : 4,675.86 = 925.42 : x
  2. Step 2: Convert to fraction form
    3,116.62/4,675.86 = 925.42/x
  3. Step 3: Cross multiply
    3,116.62x = 4,675.86 × 925.42
  4. Step 4: Simplify right side
    3,116.62x = 4,327,134.36
  5. Step 5: Solve for x
    x = 4,327,134.36/3,116.62
  6. Step 6: Final answer
    x = 1,388.41

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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.