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Finding the Fourth Proportional to 4,560.84, 6,283.17 and 3,758.94

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Solution

The fourth proportional to 4,560.84, 6,283.17 and 3,758.94 is: 5,178.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,560.84 : 6,283.17 = 3,758.94 : x
  2. Step 2: Convert to fraction form
    4,560.84/6,283.17 = 3,758.94/x
  3. Step 3: Cross multiply
    4,560.84x = 6,283.17 × 3,758.94
  4. Step 4: Simplify right side
    4,560.84x = 23,618,059.04
  5. Step 5: Solve for x
    x = 23,618,059.04/4,560.84
  6. Step 6: Final answer
    x = 5,178.44

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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.