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Finding the Fourth Proportional to 6,310.80, 8,710.80 and 3,659.40

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Solution

The fourth proportional to 6,310.80, 8,710.80 and 3,659.40 is: 5,051.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,310.80 : 8,710.80 = 3,659.40 : x
  2. Step 2: Convert to fraction form
    6,310.80/8,710.80 = 3,659.40/x
  3. Step 3: Cross multiply
    6,310.80x = 8,710.80 × 3,659.40
  4. Step 4: Simplify right side
    6,310.80x = 31,876,301.52
  5. Step 5: Solve for x
    x = 31,876,301.52/6,310.80
  6. Step 6: Final answer
    x = 5,051.07

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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.