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Finding the Fourth Proportional to 3,874.80, 5,348.00 and 2,302.59

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Solution

The fourth proportional to 3,874.80, 5,348.00 and 2,302.59 is: 3,178.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,874.80 : 5,348.00 = 2,302.59 : x
  2. Step 2: Convert to fraction form
    3,874.80/5,348.00 = 2,302.59/x
  3. Step 3: Cross multiply
    3,874.80x = 5,348.00 × 2,302.59
  4. Step 4: Simplify right side
    3,874.80x = 12,314,239.81
  5. Step 5: Solve for x
    x = 12,314,239.81/3,874.80
  6. Step 6: Final answer
    x = 3,178.03

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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.