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Finding the Fourth Proportional to 3,568.20, 5,352.32 and 971.14

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Solution

The fourth proportional to 3,568.20, 5,352.32 and 971.14 is: 1,456.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,568.20 : 5,352.32 = 971.14 : x
  2. Step 2: Convert to fraction form
    3,568.20/5,352.32 = 971.14/x
  3. Step 3: Cross multiply
    3,568.20x = 5,352.32 × 971.14
  4. Step 4: Simplify right side
    3,568.20x = 5,197,852.04
  5. Step 5: Solve for x
    x = 5,197,852.04/3,568.20
  6. Step 6: Final answer
    x = 1,456.72

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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.