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Finding the Fourth Proportional to 3,155.82, 4,355.12 and 1,758.57

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Solution

The fourth proportional to 3,155.82, 4,355.12 and 1,758.57 is: 2,426.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,155.82 : 4,355.12 = 1,758.57 : x
  2. Step 2: Convert to fraction form
    3,155.82/4,355.12 = 1,758.57/x
  3. Step 3: Cross multiply
    3,155.82x = 4,355.12 × 1,758.57
  4. Step 4: Simplify right side
    3,155.82x = 7,658,783.38
  5. Step 5: Solve for x
    x = 7,658,783.38/3,155.82
  6. Step 6: Final answer
    x = 2,426.88

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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.