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Finding the Fourth Proportional to 3,568.14, 5,351.99 and 970.88

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Solution

The fourth proportional to 3,568.14, 5,351.99 and 970.88 is: 1,456.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,568.14 : 5,351.99 = 970.88 : x
  2. Step 2: Convert to fraction form
    3,568.14/5,351.99 = 970.88/x
  3. Step 3: Cross multiply
    3,568.14x = 5,351.99 × 970.88
  4. Step 4: Simplify right side
    3,568.14x = 5,196,108.44
  5. Step 5: Solve for x
    x = 5,196,108.44/3,568.14
  6. Step 6: Final answer
    x = 1,456.25

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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.