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Finding the Fourth Proportional to 4,824.84, 7,236.12 and 1,538.20

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Solution

The fourth proportional to 4,824.84, 7,236.12 and 1,538.20 is: 2,306.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,824.84 : 7,236.12 = 1,538.20 : x
  2. Step 2: Convert to fraction form
    4,824.84/7,236.12 = 1,538.20/x
  3. Step 3: Cross multiply
    4,824.84x = 7,236.12 × 1,538.20
  4. Step 4: Simplify right side
    4,824.84x = 11,130,599.78
  5. Step 5: Solve for x
    x = 11,130,599.78/4,824.84
  6. Step 6: Final answer
    x = 2,306.94

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.