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Finding the Fourth Proportional to 5,487.66, 8,232.27 and 2,024.66

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Solution

The fourth proportional to 5,487.66, 8,232.27 and 2,024.66 is: 3,037.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,487.66 : 8,232.27 = 2,024.66 : x
  2. Step 2: Convert to fraction form
    5,487.66/8,232.27 = 2,024.66/x
  3. Step 3: Cross multiply
    5,487.66x = 8,232.27 × 2,024.66
  4. Step 4: Simplify right side
    5,487.66x = 16,667,547.78
  5. Step 5: Solve for x
    x = 16,667,547.78/5,487.66
  6. Step 6: Final answer
    x = 3,037.28

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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.