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Finding the Fourth Proportional to 5,505.66, 8,258.49 and 2,429.82

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Solution

The fourth proportional to 5,505.66, 8,258.49 and 2,429.82 is: 3,644.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,505.66 : 8,258.49 = 2,429.82 : x
  2. Step 2: Convert to fraction form
    5,505.66/8,258.49 = 2,429.82/x
  3. Step 3: Cross multiply
    5,505.66x = 8,258.49 × 2,429.82
  4. Step 4: Simplify right side
    5,505.66x = 20,066,644.17
  5. Step 5: Solve for x
    x = 20,066,644.17/5,505.66
  6. Step 6: Final answer
    x = 3,644.73

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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.