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Finding the Fourth Proportional to 5,353.76, 8,032.76 and 2,065.97

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Solution

The fourth proportional to 5,353.76, 8,032.76 and 2,065.97 is: 3,099.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,353.76 : 8,032.76 = 2,065.97 : x
  2. Step 2: Convert to fraction form
    5,353.76/8,032.76 = 2,065.97/x
  3. Step 3: Cross multiply
    5,353.76x = 8,032.76 × 2,065.97
  4. Step 4: Simplify right side
    5,353.76x = 16,595,390.68
  5. Step 5: Solve for x
    x = 16,595,390.68/5,353.76
  6. Step 6: Final answer
    x = 3,099.77

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1.5x scale

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.