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Finding the Fourth Proportional to 4,614.14, 6,368.04 and 2,625

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Solution

The fourth proportional to 4,614.14, 6,368.04 and 2,625 is: 3,622.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,614.14 : 6,368.04 = 2,625 : x
  2. Step 2: Convert to fraction form
    4,614.14/6,368.04 = 2,625/x
  3. Step 3: Cross multiply
    4,614.14x = 6,368.04 × 2,625
  4. Step 4: Simplify right side
    4,614.14x = 16,716,105
  5. Step 5: Solve for x
    x = 16,716,105/4,614.14
  6. Step 6: Final answer
    x = 3,622.80

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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.