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Finding the Fourth Proportional to 4,714.20, 7,071.30 and 4,244.40

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Solution

The fourth proportional to 4,714.20, 7,071.30 and 4,244.40 is: 6,366.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,714.20 : 7,071.30 = 4,244.40 : x
  2. Step 2: Convert to fraction form
    4,714.20/7,071.30 = 4,244.40/x
  3. Step 3: Cross multiply
    4,714.20x = 7,071.30 × 4,244.40
  4. Step 4: Simplify right side
    4,714.20x = 30,013,425.72
  5. Step 5: Solve for x
    x = 30,013,425.72/4,714.20
  6. Step 6: Final answer
    x = 6,366.60

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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.