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Finding the Fourth Proportional to 5,311.96, 7,962.96 and 1,799.50

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Solution

The fourth proportional to 5,311.96, 7,962.96 and 1,799.50 is: 2,697.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,311.96 : 7,962.96 = 1,799.50 : x
  2. Step 2: Convert to fraction form
    5,311.96/7,962.96 = 1,799.50/x
  3. Step 3: Cross multiply
    5,311.96x = 7,962.96 × 1,799.50
  4. Step 4: Simplify right side
    5,311.96x = 14,329,346.52
  5. Step 5: Solve for x
    x = 14,329,346.52/5,311.96
  6. Step 6: Final answer
    x = 2,697.56

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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.