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Finding the Fourth Proportional to 4,200.68, 6,326.02 and 3,659.40

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Solution

The fourth proportional to 4,200.68, 6,326.02 and 3,659.40 is: 5,510.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,200.68 : 6,326.02 = 3,659.40 : x
  2. Step 2: Convert to fraction form
    4,200.68/6,326.02 = 3,659.40/x
  3. Step 3: Cross multiply
    4,200.68x = 6,326.02 × 3,659.40
  4. Step 4: Simplify right side
    4,200.68x = 23,149,437.59
  5. Step 5: Solve for x
    x = 23,149,437.59/4,200.68
  6. Step 6: Final answer
    x = 5,510.88

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.