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Finding the Fourth Proportional to 3,116.48, 4,675.49 and 925.21

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Solution

The fourth proportional to 3,116.48, 4,675.49 and 925.21 is: 1,388.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,116.48 : 4,675.49 = 925.21 : x
  2. Step 2: Convert to fraction form
    3,116.48/4,675.49 = 925.21/x
  3. Step 3: Cross multiply
    3,116.48x = 4,675.49 × 925.21
  4. Step 4: Simplify right side
    3,116.48x = 4,325,800.73
  5. Step 5: Solve for x
    x = 4,325,800.73/3,116.48
  6. Step 6: Final answer
    x = 1,388.04

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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.