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Finding the Fourth Proportional to 3,711, 5,121.50 and 2,055.32

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Solution

The fourth proportional to 3,711, 5,121.50 and 2,055.32 is: 2,836.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,711 : 5,121.50 = 2,055.32 : x
  2. Step 2: Convert to fraction form
    3,711/5,121.50 = 2,055.32/x
  3. Step 3: Cross multiply
    3,711x = 5,121.50 × 2,055.32
  4. Step 4: Simplify right side
    3,711x = 10,526,321.38
  5. Step 5: Solve for x
    x = 10,526,321.38/3,711
  6. Step 6: Final answer
    x = 2,836.52

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.