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Finding the Fourth Proportional to 3,935.76, 5,429.04 and 2,364.24

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Solution

The fourth proportional to 3,935.76, 5,429.04 and 2,364.24 is: 3,261.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,935.76 : 5,429.04 = 2,364.24 : x
  2. Step 2: Convert to fraction form
    3,935.76/5,429.04 = 2,364.24/x
  3. Step 3: Cross multiply
    3,935.76x = 5,429.04 × 2,364.24
  4. Step 4: Simplify right side
    3,935.76x = 12,835,553.53
  5. Step 5: Solve for x
    x = 12,835,553.53/3,935.76
  6. Step 6: Final answer
    x = 3,261.26

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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.