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Finding the Fourth Proportional to 4,993.92, 7,489.98 and 1,707

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Solution

The fourth proportional to 4,993.92, 7,489.98 and 1,707 is: 2,560.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,993.92 : 7,489.98 = 1,707 : x
  2. Step 2: Convert to fraction form
    4,993.92/7,489.98 = 1,707/x
  3. Step 3: Cross multiply
    4,993.92x = 7,489.98 × 1,707
  4. Step 4: Simplify right side
    4,993.92x = 12,785,395.86
  5. Step 5: Solve for x
    x = 12,785,395.86/4,993.92
  6. Step 6: Final answer
    x = 2,560.19

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Why These Related Problems?

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