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Finding the Fourth Proportional to 8,582.76, 12,875.22 and 3,034.80

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Solution

The fourth proportional to 8,582.76, 12,875.22 and 3,034.80 is: 4,552.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,582.76 : 12,875.22 = 3,034.80 : x
  2. Step 2: Convert to fraction form
    8,582.76/12,875.22 = 3,034.80/x
  3. Step 3: Cross multiply
    8,582.76x = 12,875.22 × 3,034.80
  4. Step 4: Simplify right side
    8,582.76x = 39,073,717.66
  5. Step 5: Solve for x
    x = 39,073,717.66/8,582.76
  6. Step 6: Final answer
    x = 4,552.58

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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.