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Finding the Fourth Proportional to 38.76, 52.80 and 38.76

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Solution

The fourth proportional to 38.76, 52.80 and 38.76 is: 52.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    38.76 : 52.80 = 38.76 : x
  2. Step 2: Convert to fraction form
    38.76/52.80 = 38.76/x
  3. Step 3: Cross multiply
    38.76x = 52.80 × 38.76
  4. Step 4: Simplify right side
    38.76x = 2,046.53
  5. Step 5: Solve for x
    x = 2,046.53/38.76
  6. Step 6: Final answer
    x = 52.80

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.