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Finding the Fourth Proportional to 4,454.80, 6,146.52 and 2,881

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Solution

The fourth proportional to 4,454.80, 6,146.52 and 2,881 is: 3,975.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,454.80 : 6,146.52 = 2,881 : x
  2. Step 2: Convert to fraction form
    4,454.80/6,146.52 = 2,881/x
  3. Step 3: Cross multiply
    4,454.80x = 6,146.52 × 2,881
  4. Step 4: Simplify right side
    4,454.80x = 17,708,124.12
  5. Step 5: Solve for x
    x = 17,708,124.12/4,454.80
  6. Step 6: Final answer
    x = 3,975.07

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