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Finding the Fourth Proportional to 3,514.24, 5,271.36 and 917.16

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Solution

The fourth proportional to 3,514.24, 5,271.36 and 917.16 is: 1,375.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,514.24 : 5,271.36 = 917.16 : x
  2. Step 2: Convert to fraction form
    3,514.24/5,271.36 = 917.16/x
  3. Step 3: Cross multiply
    3,514.24x = 5,271.36 × 917.16
  4. Step 4: Simplify right side
    3,514.24x = 4,834,654.18
  5. Step 5: Solve for x
    x = 4,834,654.18/3,514.24
  6. Step 6: Final answer
    x = 1,375.73

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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.