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Finding the Fourth Proportional to 5,787.52, 7,986.24 and 3,304

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Solution

The fourth proportional to 5,787.52, 7,986.24 and 3,304 is: 4,559.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,787.52 : 7,986.24 = 3,304 : x
  2. Step 2: Convert to fraction form
    5,787.52/7,986.24 = 3,304/x
  3. Step 3: Cross multiply
    5,787.52x = 7,986.24 × 3,304
  4. Step 4: Simplify right side
    5,787.52x = 26,386,536.96
  5. Step 5: Solve for x
    x = 26,386,536.96/5,787.52
  6. Step 6: Final answer
    x = 4,559.21

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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.