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Finding the Fourth Proportional to 8,570.52, 12,855.78 and 3,639.48

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Solution

The fourth proportional to 8,570.52, 12,855.78 and 3,639.48 is: 5,459.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,570.52 : 12,855.78 = 3,639.48 : x
  2. Step 2: Convert to fraction form
    8,570.52/12,855.78 = 3,639.48/x
  3. Step 3: Cross multiply
    8,570.52x = 12,855.78 × 3,639.48
  4. Step 4: Simplify right side
    8,570.52x = 46,788,354.19
  5. Step 5: Solve for x
    x = 46,788,354.19/8,570.52
  6. Step 6: Final answer
    x = 5,459.22

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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.