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Finding the Fourth Proportional to 3,775.97, 5,210.99 and 2,097.50

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Solution

The fourth proportional to 3,775.97, 5,210.99 and 2,097.50 is: 2,894.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,775.97 : 5,210.99 = 2,097.50 : x
  2. Step 2: Convert to fraction form
    3,775.97/5,210.99 = 2,097.50/x
  3. Step 3: Cross multiply
    3,775.97x = 5,210.99 × 2,097.50
  4. Step 4: Simplify right side
    3,775.97x = 10,930,054.06
  5. Step 5: Solve for x
    x = 10,930,054.06/3,775.97
  6. Step 6: Final answer
    x = 2,894.64

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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.