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Finding the Fourth Proportional to 8,570.65, 12,851.20 and 2,645.86

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Solution

The fourth proportional to 8,570.65, 12,851.20 and 2,645.86 is: 3,967.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,570.65 : 12,851.20 = 2,645.86 : x
  2. Step 2: Convert to fraction form
    8,570.65/12,851.20 = 2,645.86/x
  3. Step 3: Cross multiply
    8,570.65x = 12,851.20 × 2,645.86
  4. Step 4: Simplify right side
    8,570.65x = 34,002,476.03
  5. Step 5: Solve for x
    x = 34,002,476.03/8,570.65
  6. Step 6: Final answer
    x = 3,967.32

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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.