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Finding the Fourth Proportional to 6,108.80, 8,434.14 and 3,871.40

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Solution

The fourth proportional to 6,108.80, 8,434.14 and 3,871.40 is: 5,345.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,108.80 : 8,434.14 = 3,871.40 : x
  2. Step 2: Convert to fraction form
    6,108.80/8,434.14 = 3,871.40/x
  3. Step 3: Cross multiply
    6,108.80x = 8,434.14 × 3,871.40
  4. Step 4: Simplify right side
    6,108.80x = 32,651,929.60
  5. Step 5: Solve for x
    x = 32,651,929.60/6,108.80
  6. Step 6: Final answer
    x = 5,345.06

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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.