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Finding the Fourth Proportional to 3,454.96, 4,767.96 and 1,883.11

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Solution

The fourth proportional to 3,454.96, 4,767.96 and 1,883.11 is: 2,598.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,454.96 : 4,767.96 = 1,883.11 : x
  2. Step 2: Convert to fraction form
    3,454.96/4,767.96 = 1,883.11/x
  3. Step 3: Cross multiply
    3,454.96x = 4,767.96 × 1,883.11
  4. Step 4: Simplify right side
    3,454.96x = 8,978,593.16
  5. Step 5: Solve for x
    x = 8,978,593.16/3,454.96
  6. Step 6: Final answer
    x = 2,598.75

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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.