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Finding the Fourth Proportional to 3,775.97, 5,210.75 and 2,097.29

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Solution

The fourth proportional to 3,775.97, 5,210.75 and 2,097.29 is: 2,894.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,775.97 : 5,210.75 = 2,097.29 : x
  2. Step 2: Convert to fraction form
    3,775.97/5,210.75 = 2,097.29/x
  3. Step 3: Cross multiply
    3,775.97x = 5,210.75 × 2,097.29
  4. Step 4: Simplify right side
    3,775.97x = 10,928,472.14
  5. Step 5: Solve for x
    x = 10,928,472.14/3,775.97
  6. Step 6: Final answer
    x = 2,894.21

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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.