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Finding the Fourth Proportional to 3,774.74, 5,208.74 and 2,095.76

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Solution

The fourth proportional to 3,774.74, 5,208.74 and 2,095.76 is: 2,891.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,774.74 : 5,208.74 = 2,095.76 : x
  2. Step 2: Convert to fraction form
    3,774.74/5,208.74 = 2,095.76/x
  3. Step 3: Cross multiply
    3,774.74x = 5,208.74 × 2,095.76
  4. Step 4: Simplify right side
    3,774.74x = 10,916,250.05
  5. Step 5: Solve for x
    x = 10,916,250.05/3,774.74
  6. Step 6: Final answer
    x = 2,891.92

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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.