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Finding the Fourth Proportional to 4,474.34, 6,714.97 and 3,097.30

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Solution

The fourth proportional to 4,474.34, 6,714.97 and 3,097.30 is: 4,648.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,474.34 : 6,714.97 = 3,097.30 : x
  2. Step 2: Convert to fraction form
    4,474.34/6,714.97 = 3,097.30/x
  3. Step 3: Cross multiply
    4,474.34x = 6,714.97 × 3,097.30
  4. Step 4: Simplify right side
    4,474.34x = 20,798,276.58
  5. Step 5: Solve for x
    x = 20,798,276.58/4,474.34
  6. Step 6: Final answer
    x = 4,648.35

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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.