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Finding the Fourth Proportional to 3,568.44, 5,351.70 and 970.76

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Solution

The fourth proportional to 3,568.44, 5,351.70 and 970.76 is: 1,455.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,568.44 : 5,351.70 = 970.76 : x
  2. Step 2: Convert to fraction form
    3,568.44/5,351.70 = 970.76/x
  3. Step 3: Cross multiply
    3,568.44x = 5,351.70 × 970.76
  4. Step 4: Simplify right side
    3,568.44x = 5,195,216.29
  5. Step 5: Solve for x
    x = 5,195,216.29/3,568.44
  6. Step 6: Final answer
    x = 1,455.88

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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.