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Finding the Fourth Proportional to 5,165.40, 7,745.25 and 2,042.25

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Solution

The fourth proportional to 5,165.40, 7,745.25 and 2,042.25 is: 3,062.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,165.40 : 7,745.25 = 2,042.25 : x
  2. Step 2: Convert to fraction form
    5,165.40/7,745.25 = 2,042.25/x
  3. Step 3: Cross multiply
    5,165.40x = 7,745.25 × 2,042.25
  4. Step 4: Simplify right side
    5,165.40x = 15,817,736.81
  5. Step 5: Solve for x
    x = 15,817,736.81/5,165.40
  6. Step 6: Final answer
    x = 3,062.25

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.