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Finding the Fourth Proportional to 5,177.92, 7,764.72 and 1,891.12

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Solution

The fourth proportional to 5,177.92, 7,764.72 and 1,891.12 is: 2,835.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,177.92 : 7,764.72 = 1,891.12 : x
  2. Step 2: Convert to fraction form
    5,177.92/7,764.72 = 1,891.12/x
  3. Step 3: Cross multiply
    5,177.92x = 7,764.72 × 1,891.12
  4. Step 4: Simplify right side
    5,177.92x = 14,684,017.29
  5. Step 5: Solve for x
    x = 14,684,017.29/5,177.92
  6. Step 6: Final answer
    x = 2,835.89

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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.