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Finding the Fourth Proportional to 3,745.44, 5,167.12 and 2,503.84

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Solution

The fourth proportional to 3,745.44, 5,167.12 and 2,503.84 is: 3,454.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,745.44 : 5,167.12 = 2,503.84 : x
  2. Step 2: Convert to fraction form
    3,745.44/5,167.12 = 2,503.84/x
  3. Step 3: Cross multiply
    3,745.44x = 5,167.12 × 2,503.84
  4. Step 4: Simplify right side
    3,745.44x = 12,937,641.74
  5. Step 5: Solve for x
    x = 12,937,641.74/3,745.44
  6. Step 6: Final answer
    x = 3,454.24

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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.