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Finding the Fourth Proportional to 8,570.88, 12,858.25 and 3,024.62

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Solution

The fourth proportional to 8,570.88, 12,858.25 and 3,024.62 is: 4,537.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,570.88 : 12,858.25 = 3,024.62 : x
  2. Step 2: Convert to fraction form
    8,570.88/12,858.25 = 3,024.62/x
  3. Step 3: Cross multiply
    8,570.88x = 12,858.25 × 3,024.62
  4. Step 4: Simplify right side
    8,570.88x = 38,891,320.12
  5. Step 5: Solve for x
    x = 38,891,320.12/8,570.88
  6. Step 6: Final answer
    x = 4,537.61

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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.