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Finding the Fourth Proportional to 4,940.84, 6,812.58 and 4,102.52

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Solution

The fourth proportional to 4,940.84, 6,812.58 and 4,102.52 is: 5,656.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,940.84 : 6,812.58 = 4,102.52 : x
  2. Step 2: Convert to fraction form
    4,940.84/6,812.58 = 4,102.52/x
  3. Step 3: Cross multiply
    4,940.84x = 6,812.58 × 4,102.52
  4. Step 4: Simplify right side
    4,940.84x = 27,948,745.70
  5. Step 5: Solve for x
    x = 27,948,745.70/4,940.84
  6. Step 6: Final answer
    x = 5,656.68

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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.