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Finding the Fourth Proportional to 5,767.62, 8,648.36 and 2,987.40

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Solution

The fourth proportional to 5,767.62, 8,648.36 and 2,987.40 is: 4,479.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,767.62 : 8,648.36 = 2,987.40 : x
  2. Step 2: Convert to fraction form
    5,767.62/8,648.36 = 2,987.40/x
  3. Step 3: Cross multiply
    5,767.62x = 8,648.36 × 2,987.40
  4. Step 4: Simplify right side
    5,767.62x = 25,836,095.73
  5. Step 5: Solve for x
    x = 25,836,095.73/5,767.62
  6. Step 6: Final answer
    x = 4,479.51

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