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Finding the Fourth Proportional to 5,422.84, 7,472.82 and 3,848.20

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Solution

The fourth proportional to 5,422.84, 7,472.82 and 3,848.20 is: 5,302.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,422.84 : 7,472.82 = 3,848.20 : x
  2. Step 2: Convert to fraction form
    5,422.84/7,472.82 = 3,848.20/x
  3. Step 3: Cross multiply
    5,422.84x = 7,472.82 × 3,848.20
  4. Step 4: Simplify right side
    5,422.84x = 28,756,905.92
  5. Step 5: Solve for x
    x = 28,756,905.92/5,422.84
  6. Step 6: Final answer
    x = 5,302.92

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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.