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Finding the Fourth Proportional to 3,568.92, 5,353.35 and 971.83

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Solution

The fourth proportional to 3,568.92, 5,353.35 and 971.83 is: 1,457.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,568.92 : 5,353.35 = 971.83 : x
  2. Step 2: Convert to fraction form
    3,568.92/5,353.35 = 971.83/x
  3. Step 3: Cross multiply
    3,568.92x = 5,353.35 × 971.83
  4. Step 4: Simplify right side
    3,568.92x = 5,202,546.13
  5. Step 5: Solve for x
    x = 5,202,546.13/3,568.92
  6. Step 6: Final answer
    x = 1,457.74

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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.