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Finding the Fourth Proportional to 3,454.29, 5,179.91 and 988.54

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Solution

The fourth proportional to 3,454.29, 5,179.91 and 988.54 is: 1,482.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,454.29 : 5,179.91 = 988.54 : x
  2. Step 2: Convert to fraction form
    3,454.29/5,179.91 = 988.54/x
  3. Step 3: Cross multiply
    3,454.29x = 5,179.91 × 988.54
  4. Step 4: Simplify right side
    3,454.29x = 5,120,562.71
  5. Step 5: Solve for x
    x = 5,120,562.71/3,454.29
  6. Step 6: Final answer
    x = 1,482.38

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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.