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Finding the Fourth Proportional to 4,156.82, 5,737.13 and 3,969.98

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Solution

The fourth proportional to 4,156.82, 5,737.13 and 3,969.98 is: 5,479.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,156.82 : 5,737.13 = 3,969.98 : x
  2. Step 2: Convert to fraction form
    4,156.82/5,737.13 = 3,969.98/x
  3. Step 3: Cross multiply
    4,156.82x = 5,737.13 × 3,969.98
  4. Step 4: Simplify right side
    4,156.82x = 22,776,291.36
  5. Step 5: Solve for x
    x = 22,776,291.36/4,156.82
  6. Step 6: Final answer
    x = 5,479.26

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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.