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Finding the Fourth Proportional to 4,754.90, 6,548.25 and 4,653.14

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Solution

The fourth proportional to 4,754.90, 6,548.25 and 4,653.14 is: 6,408.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,754.90 : 6,548.25 = 4,653.14 : x
  2. Step 2: Convert to fraction form
    4,754.90/6,548.25 = 4,653.14/x
  3. Step 3: Cross multiply
    4,754.90x = 6,548.25 × 4,653.14
  4. Step 4: Simplify right side
    4,754.90x = 30,469,924.01
  5. Step 5: Solve for x
    x = 30,469,924.01/4,754.90
  6. Step 6: Final answer
    x = 6,408.11

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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.