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Finding the Fourth Proportional to 3,874.54, 5,348.24 and 2,302.63

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Solution

The fourth proportional to 3,874.54, 5,348.24 and 2,302.63 is: 3,178.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,874.54 : 5,348.24 = 2,302.63 : x
  2. Step 2: Convert to fraction form
    3,874.54/5,348.24 = 2,302.63/x
  3. Step 3: Cross multiply
    3,874.54x = 5,348.24 × 2,302.63
  4. Step 4: Simplify right side
    3,874.54x = 12,315,017.87
  5. Step 5: Solve for x
    x = 12,315,017.87/3,874.54
  6. Step 6: Final answer
    x = 3,178.45

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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.