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Finding the Fourth Proportional to 6,459.75, 8,913.06 and 3,806.19

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Solution

The fourth proportional to 6,459.75, 8,913.06 and 3,806.19 is: 5,251.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,459.75 : 8,913.06 = 3,806.19 : x
  2. Step 2: Convert to fraction form
    6,459.75/8,913.06 = 3,806.19/x
  3. Step 3: Cross multiply
    6,459.75x = 8,913.06 × 3,806.19
  4. Step 4: Simplify right side
    6,459.75x = 33,924,799.84
  5. Step 5: Solve for x
    x = 33,924,799.84/6,459.75
  6. Step 6: Final answer
    x = 5,251.72

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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.