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Finding the Fourth Proportional to 3,564.54, 4,921.83 and 2,306.48

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Solution

The fourth proportional to 3,564.54, 4,921.83 and 2,306.48 is: 3,184.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,564.54 : 4,921.83 = 2,306.48 : x
  2. Step 2: Convert to fraction form
    3,564.54/4,921.83 = 2,306.48/x
  3. Step 3: Cross multiply
    3,564.54x = 4,921.83 × 2,306.48
  4. Step 4: Simplify right side
    3,564.54x = 11,352,077.85
  5. Step 5: Solve for x
    x = 11,352,077.85/3,564.54
  6. Step 6: Final answer
    x = 3,184.72

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.