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Finding the Fourth Proportional to 3,836.52, 5,288.76 and 2,714.00

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Solution

The fourth proportional to 3,836.52, 5,288.76 and 2,714.00 is: 3,741.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,836.52 : 5,288.76 = 2,714.00 : x
  2. Step 2: Convert to fraction form
    3,836.52/5,288.76 = 2,714.00/x
  3. Step 3: Cross multiply
    3,836.52x = 5,288.76 × 2,714.00
  4. Step 4: Simplify right side
    3,836.52x = 14,353,668.20
  5. Step 5: Solve for x
    x = 14,353,668.20/3,836.52
  6. Step 6: Final answer
    x = 3,741.33

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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.