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Finding the Fourth Proportional to 4,617.68, 6,372.14 and 2,628.25

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Solution

The fourth proportional to 4,617.68, 6,372.14 and 2,628.25 is: 3,626.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,617.68 : 6,372.14 = 2,628.25 : x
  2. Step 2: Convert to fraction form
    4,617.68/6,372.14 = 2,628.25/x
  3. Step 3: Cross multiply
    4,617.68x = 6,372.14 × 2,628.25
  4. Step 4: Simplify right side
    4,617.68x = 16,747,547.88
  5. Step 5: Solve for x
    x = 16,747,547.88/4,617.68
  6. Step 6: Final answer
    x = 3,626.84

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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.