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Finding the Fourth Proportional to 3,568.97, 5,353.61 and 971.90

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Solution

The fourth proportional to 3,568.97, 5,353.61 and 971.90 is: 1,457.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,568.97 : 5,353.61 = 971.90 : x
  2. Step 2: Convert to fraction form
    3,568.97/5,353.61 = 971.90/x
  3. Step 3: Cross multiply
    3,568.97x = 5,353.61 × 971.90
  4. Step 4: Simplify right side
    3,568.97x = 5,203,182.08
  5. Step 5: Solve for x
    x = 5,203,182.08/3,568.97
  6. Step 6: Final answer
    x = 1,457.89

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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.