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Finding the Fourth Proportional to 4,714.52, 7,071.26 and 1,252.04

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Solution

The fourth proportional to 4,714.52, 7,071.26 and 1,252.04 is: 1,877.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,714.52 : 7,071.26 = 1,252.04 : x
  2. Step 2: Convert to fraction form
    4,714.52/7,071.26 = 1,252.04/x
  3. Step 3: Cross multiply
    4,714.52x = 7,071.26 × 1,252.04
  4. Step 4: Simplify right side
    4,714.52x = 8,853,500.37
  5. Step 5: Solve for x
    x = 8,853,500.37/4,714.52
  6. Step 6: Final answer
    x = 1,877.92

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.