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Finding the Fourth Proportional to 4,616.56, 6,924.78 and 1,538.56

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Solution

The fourth proportional to 4,616.56, 6,924.78 and 1,538.56 is: 2,307.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,616.56 : 6,924.78 = 1,538.56 : x
  2. Step 2: Convert to fraction form
    4,616.56/6,924.78 = 1,538.56/x
  3. Step 3: Cross multiply
    4,616.56x = 6,924.78 × 1,538.56
  4. Step 4: Simplify right side
    4,616.56x = 10,654,189.52
  5. Step 5: Solve for x
    x = 10,654,189.52/4,616.56
  6. Step 6: Final answer
    x = 2,307.82

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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.