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Finding the Fourth Proportional to 3,508.26, 5,264.01 and 1,561.02

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Solution

The fourth proportional to 3,508.26, 5,264.01 and 1,561.02 is: 2,342.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,508.26 : 5,264.01 = 1,561.02 : x
  2. Step 2: Convert to fraction form
    3,508.26/5,264.01 = 1,561.02/x
  3. Step 3: Cross multiply
    3,508.26x = 5,264.01 × 1,561.02
  4. Step 4: Simplify right side
    3,508.26x = 8,217,224.89
  5. Step 5: Solve for x
    x = 8,217,224.89/3,508.26
  6. Step 6: Final answer
    x = 2,342.25

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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.