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Finding the Fourth Proportional to 4,364.57, 6,548.06 and 2,418.14

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Solution

The fourth proportional to 4,364.57, 6,548.06 and 2,418.14 is: 3,627.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,364.57 : 6,548.06 = 2,418.14 : x
  2. Step 2: Convert to fraction form
    4,364.57/6,548.06 = 2,418.14/x
  3. Step 3: Cross multiply
    4,364.57x = 6,548.06 × 2,418.14
  4. Step 4: Simplify right side
    4,364.57x = 15,834,099.11
  5. Step 5: Solve for x
    x = 15,834,099.11/4,364.57
  6. Step 6: Final answer
    x = 3,627.88

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.