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Finding the Fourth Proportional to 6,103, 8,422.50 and 3,714.70

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Solution

The fourth proportional to 6,103, 8,422.50 and 3,714.70 is: 5,126.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,103 : 8,422.50 = 3,714.70 : x
  2. Step 2: Convert to fraction form
    6,103/8,422.50 = 3,714.70/x
  3. Step 3: Cross multiply
    6,103x = 8,422.50 × 3,714.70
  4. Step 4: Simplify right side
    6,103x = 31,287,060.75
  5. Step 5: Solve for x
    x = 31,287,060.75/6,103
  6. Step 6: Final answer
    x = 5,126.51

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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.