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Finding the Fourth Proportional to 4,324.61, 6,494.75 and 3,977.33

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Solution

The fourth proportional to 4,324.61, 6,494.75 and 3,977.33 is: 5,973.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,324.61 : 6,494.75 = 3,977.33 : x
  2. Step 2: Convert to fraction form
    4,324.61/6,494.75 = 3,977.33/x
  3. Step 3: Cross multiply
    4,324.61x = 6,494.75 × 3,977.33
  4. Step 4: Simplify right side
    4,324.61x = 25,831,711.66
  5. Step 5: Solve for x
    x = 25,831,711.66/4,324.61
  6. Step 6: Final answer
    x = 5,973.20

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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.