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Finding the Fourth Proportional to 6,071.96, 8,378.52 and 3,714.92

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Solution

The fourth proportional to 6,071.96, 8,378.52 and 3,714.92 is: 5,126.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,071.96 : 8,378.52 = 3,714.92 : x
  2. Step 2: Convert to fraction form
    6,071.96/8,378.52 = 3,714.92/x
  3. Step 3: Cross multiply
    6,071.96x = 8,378.52 × 3,714.92
  4. Step 4: Simplify right side
    6,071.96x = 31,125,531.52
  5. Step 5: Solve for x
    x = 31,125,531.52/6,071.96
  6. Step 6: Final answer
    x = 5,126.11

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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.