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Finding the Fourth Proportional to 3,568.08, 5,351.96 and 970.88

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Solution

The fourth proportional to 3,568.08, 5,351.96 and 970.88 is: 1,456.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,568.08 : 5,351.96 = 970.88 : x
  2. Step 2: Convert to fraction form
    3,568.08/5,351.96 = 970.88/x
  3. Step 3: Cross multiply
    3,568.08x = 5,351.96 × 970.88
  4. Step 4: Simplify right side
    3,568.08x = 5,196,110.92
  5. Step 5: Solve for x
    x = 5,196,110.92/3,568.08
  6. Step 6: Final answer
    x = 1,456.28

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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.