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Finding the Fourth Proportional to 3,514.49, 5,271.74 and 917.41

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Solution

The fourth proportional to 3,514.49, 5,271.74 and 917.41 is: 1,376.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,514.49 : 5,271.74 = 917.41 : x
  2. Step 2: Convert to fraction form
    3,514.49/5,271.74 = 917.41/x
  3. Step 3: Cross multiply
    3,514.49x = 5,271.74 × 917.41
  4. Step 4: Simplify right side
    3,514.49x = 4,836,316.05
  5. Step 5: Solve for x
    x = 4,836,316.05/3,514.49
  6. Step 6: Final answer
    x = 1,376.11

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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.