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Finding the Fourth Proportional to 4,609.40, 6,908.63 and 2,657.57

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Solution

The fourth proportional to 4,609.40, 6,908.63 and 2,657.57 is: 3,983.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,609.40 : 6,908.63 = 2,657.57 : x
  2. Step 2: Convert to fraction form
    4,609.40/6,908.63 = 2,657.57/x
  3. Step 3: Cross multiply
    4,609.40x = 6,908.63 × 2,657.57
  4. Step 4: Simplify right side
    4,609.40x = 18,360,167.83
  5. Step 5: Solve for x
    x = 18,360,167.83/4,609.40
  6. Step 6: Final answer
    x = 3,983.20

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.