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Finding the Fourth Proportional to 4,311.72, 5,948.10 and 3,070.44

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Solution

The fourth proportional to 4,311.72, 5,948.10 and 3,070.44 is: 4,235.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,311.72 : 5,948.10 = 3,070.44 : x
  2. Step 2: Convert to fraction form
    4,311.72/5,948.10 = 3,070.44/x
  3. Step 3: Cross multiply
    4,311.72x = 5,948.10 × 3,070.44
  4. Step 4: Simplify right side
    4,311.72x = 18,263,284.16
  5. Step 5: Solve for x
    x = 18,263,284.16/4,311.72
  6. Step 6: Final answer
    x = 4,235.73

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.