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Finding the Fourth Proportional to 3,356.52, 5,034.76 and 1,827.24

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Solution

The fourth proportional to 3,356.52, 5,034.76 and 1,827.24 is: 2,740.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,356.52 : 5,034.76 = 1,827.24 : x
  2. Step 2: Convert to fraction form
    3,356.52/5,034.76 = 1,827.24/x
  3. Step 3: Cross multiply
    3,356.52x = 5,034.76 × 1,827.24
  4. Step 4: Simplify right side
    3,356.52x = 9,199,714.86
  5. Step 5: Solve for x
    x = 9,199,714.86/3,356.52
  6. Step 6: Final answer
    x = 2,740.85

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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.