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Finding the Fourth Proportional to 3,421.67, 5,132.51 and 824.61

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Solution

The fourth proportional to 3,421.67, 5,132.51 and 824.61 is: 1,236.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,421.67 : 5,132.51 = 824.61 : x
  2. Step 2: Convert to fraction form
    3,421.67/5,132.51 = 824.61/x
  3. Step 3: Cross multiply
    3,421.67x = 5,132.51 × 824.61
  4. Step 4: Simplify right side
    3,421.67x = 4,232,319.07
  5. Step 5: Solve for x
    x = 4,232,319.07/3,421.67
  6. Step 6: Final answer
    x = 1,236.92

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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.