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Finding the Fourth Proportional to 4,882.51, 6,738.95 and 3,468.25

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Solution

The fourth proportional to 4,882.51, 6,738.95 and 3,468.25 is: 4,786.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,882.51 : 6,738.95 = 3,468.25 : x
  2. Step 2: Convert to fraction form
    4,882.51/6,738.95 = 3,468.25/x
  3. Step 3: Cross multiply
    4,882.51x = 6,738.95 × 3,468.25
  4. Step 4: Simplify right side
    4,882.51x = 23,372,312.30
  5. Step 5: Solve for x
    x = 23,372,312.30/4,882.51
  6. Step 6: Final answer
    x = 4,786.95

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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.