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Finding the Fourth Proportional to 3,514.32, 5,271.46 and 917.25

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Solution

The fourth proportional to 3,514.32, 5,271.46 and 917.25 is: 1,375.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,514.32 : 5,271.46 = 917.25 : x
  2. Step 2: Convert to fraction form
    3,514.32/5,271.46 = 917.25/x
  3. Step 3: Cross multiply
    3,514.32x = 5,271.46 × 917.25
  4. Step 4: Simplify right side
    3,514.32x = 4,835,246.69
  5. Step 5: Solve for x
    x = 4,835,246.69/3,514.32
  6. Step 6: Final answer
    x = 1,375.87

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.