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Finding the Fourth Proportional to 6,091.75, 8,402.17 and 4,659.36

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Solution

The fourth proportional to 6,091.75, 8,402.17 and 4,659.36 is: 6,426.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,091.75 : 8,402.17 = 4,659.36 : x
  2. Step 2: Convert to fraction form
    6,091.75/8,402.17 = 4,659.36/x
  3. Step 3: Cross multiply
    6,091.75x = 8,402.17 × 4,659.36
  4. Step 4: Simplify right side
    6,091.75x = 39,148,734.81
  5. Step 5: Solve for x
    x = 39,148,734.81/6,091.75
  6. Step 6: Final answer
    x = 6,426.52

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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.