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Finding the Fourth Proportional to 5,996, 8,275.56 and 3,479.84

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Solution

The fourth proportional to 5,996, 8,275.56 and 3,479.84 is: 4,802.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,996 : 8,275.56 = 3,479.84 : x
  2. Step 2: Convert to fraction form
    5,996/8,275.56 = 3,479.84/x
  3. Step 3: Cross multiply
    5,996x = 8,275.56 × 3,479.84
  4. Step 4: Simplify right side
    5,996x = 28,797,624.71
  5. Step 5: Solve for x
    x = 28,797,624.71/5,996
  6. Step 6: Final answer
    x = 4,802.81

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.