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Finding the Fourth Proportional to 3,866.04, 5,335.13 and 2,097.64

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Solution

The fourth proportional to 3,866.04, 5,335.13 and 2,097.64 is: 2,894.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,866.04 : 5,335.13 = 2,097.64 : x
  2. Step 2: Convert to fraction form
    3,866.04/5,335.13 = 2,097.64/x
  3. Step 3: Cross multiply
    3,866.04x = 5,335.13 × 2,097.64
  4. Step 4: Simplify right side
    3,866.04x = 11,191,200.68
  5. Step 5: Solve for x
    x = 11,191,200.68/3,866.04
  6. Step 6: Final answer
    x = 2,894.75

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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.