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Finding the Fourth Proportional to 5,515.72, 8,272.86 and 2,437

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Solution

The fourth proportional to 5,515.72, 8,272.86 and 2,437 is: 3,655.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,515.72 : 8,272.86 = 2,437 : x
  2. Step 2: Convert to fraction form
    5,515.72/8,272.86 = 2,437/x
  3. Step 3: Cross multiply
    5,515.72x = 8,272.86 × 2,437
  4. Step 4: Simplify right side
    5,515.72x = 20,160,959.82
  5. Step 5: Solve for x
    x = 20,160,959.82/5,515.72
  6. Step 6: Final answer
    x = 3,655.18

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.