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Finding the Fourth Proportional to 3,454.92, 5,213.16 and 3,319.92

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Solution

The fourth proportional to 3,454.92, 5,213.16 and 3,319.92 is: 5,009.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,454.92 : 5,213.16 = 3,319.92 : x
  2. Step 2: Convert to fraction form
    3,454.92/5,213.16 = 3,319.92/x
  3. Step 3: Cross multiply
    3,454.92x = 5,213.16 × 3,319.92
  4. Step 4: Simplify right side
    3,454.92x = 17,307,274.15
  5. Step 5: Solve for x
    x = 17,307,274.15/3,454.92
  6. Step 6: Final answer
    x = 5,009.46

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.