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Finding the Fourth Proportional to 5,787.72, 7,987.06 and 3,135.14

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Solution

The fourth proportional to 5,787.72, 7,987.06 and 3,135.14 is: 4,326.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,787.72 : 7,987.06 = 3,135.14 : x
  2. Step 2: Convert to fraction form
    5,787.72/7,987.06 = 3,135.14/x
  3. Step 3: Cross multiply
    5,787.72x = 7,987.06 × 3,135.14
  4. Step 4: Simplify right side
    5,787.72x = 25,040,551.29
  5. Step 5: Solve for x
    x = 25,040,551.29/5,787.72
  6. Step 6: Final answer
    x = 4,326.50

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1.5x scale

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.