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Finding the Fourth Proportional to 5,046.84, 6,968.10 and 3,159.24

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Solution

The fourth proportional to 5,046.84, 6,968.10 and 3,159.24 is: 4,361.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,046.84 : 6,968.10 = 3,159.24 : x
  2. Step 2: Convert to fraction form
    5,046.84/6,968.10 = 3,159.24/x
  3. Step 3: Cross multiply
    5,046.84x = 6,968.10 × 3,159.24
  4. Step 4: Simplify right side
    5,046.84x = 22,013,900.24
  5. Step 5: Solve for x
    x = 22,013,900.24/5,046.84
  6. Step 6: Final answer
    x = 4,361.92

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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.