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Finding the Fourth Proportional to 3,843, 5,302.68 and 2,271.48

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Solution

The fourth proportional to 3,843, 5,302.68 and 2,271.48 is: 3,134.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,843 : 5,302.68 = 2,271.48 : x
  2. Step 2: Convert to fraction form
    3,843/5,302.68 = 2,271.48/x
  3. Step 3: Cross multiply
    3,843x = 5,302.68 × 2,271.48
  4. Step 4: Simplify right side
    3,843x = 12,044,931.57
  5. Step 5: Solve for x
    x = 12,044,931.57/3,843
  6. Step 6: Final answer
    x = 3,134.25

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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.