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Finding the Fourth Proportional to 3,304.74, 4,947.93 and 2,643.24

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Solution

The fourth proportional to 3,304.74, 4,947.93 and 2,643.24 is: 3,957.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,304.74 : 4,947.93 = 2,643.24 : x
  2. Step 2: Convert to fraction form
    3,304.74/4,947.93 = 2,643.24/x
  3. Step 3: Cross multiply
    3,304.74x = 4,947.93 × 2,643.24
  4. Step 4: Simplify right side
    3,304.74x = 13,078,566.49
  5. Step 5: Solve for x
    x = 13,078,566.49/3,304.74
  6. Step 6: Final answer
    x = 3,957.52

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.