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Finding the Fourth Proportional to 3,353.26, 5,031.57 and 1,505.71

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Solution

The fourth proportional to 3,353.26, 5,031.57 and 1,505.71 is: 2,259.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,353.26 : 5,031.57 = 1,505.71 : x
  2. Step 2: Convert to fraction form
    3,353.26/5,031.57 = 1,505.71/x
  3. Step 3: Cross multiply
    3,353.26x = 5,031.57 × 1,505.71
  4. Step 4: Simplify right side
    3,353.26x = 7,576,085.26
  5. Step 5: Solve for x
    x = 7,576,085.26/3,353.26
  6. Step 6: Final answer
    x = 2,259.32

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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.