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Finding the Fourth Proportional to 3,514.26, 5,271.40 and 917.40

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Solution

The fourth proportional to 3,514.26, 5,271.40 and 917.40 is: 1,376.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,514.26 : 5,271.40 = 917.40 : x
  2. Step 2: Convert to fraction form
    3,514.26/5,271.40 = 917.40/x
  3. Step 3: Cross multiply
    3,514.26x = 5,271.40 × 917.40
  4. Step 4: Simplify right side
    3,514.26x = 4,835,982.36
  5. Step 5: Solve for x
    x = 4,835,982.36/3,514.26
  6. Step 6: Final answer
    x = 1,376.10

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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.