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Finding the Fourth Proportional to 38.58, 52.56 and 38.46

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Solution

The fourth proportional to 38.58, 52.56 and 38.46 is: 52.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    38.58 : 52.56 = 38.46 : x
  2. Step 2: Convert to fraction form
    38.58/52.56 = 38.46/x
  3. Step 3: Cross multiply
    38.58x = 52.56 × 38.46
  4. Step 4: Simplify right side
    38.58x = 2,021.46
  5. Step 5: Solve for x
    x = 2,021.46/38.58
  6. Step 6: Final answer
    x = 52.40

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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.