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Finding the Fourth Proportional to 2,993.96, 4,129.55 and 2,594.90

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Solution

The fourth proportional to 2,993.96, 4,129.55 and 2,594.90 is: 3,579.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,993.96 : 4,129.55 = 2,594.90 : x
  2. Step 2: Convert to fraction form
    2,993.96/4,129.55 = 2,594.90/x
  3. Step 3: Cross multiply
    2,993.96x = 4,129.55 × 2,594.90
  4. Step 4: Simplify right side
    2,993.96x = 10,715,776.38
  5. Step 5: Solve for x
    x = 10,715,776.38/2,993.96
  6. Step 6: Final answer
    x = 3,579.13

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.