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Finding the Fourth Proportional to 4,171, 5,756.04 and 2,308.12

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Solution

The fourth proportional to 4,171, 5,756.04 and 2,308.12 is: 3,185.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,171 : 5,756.04 = 2,308.12 : x
  2. Step 2: Convert to fraction form
    4,171/5,756.04 = 2,308.12/x
  3. Step 3: Cross multiply
    4,171x = 5,756.04 × 2,308.12
  4. Step 4: Simplify right side
    4,171x = 13,285,631.04
  5. Step 5: Solve for x
    x = 13,285,631.04/4,171
  6. Step 6: Final answer
    x = 3,185.24

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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.