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Finding the Fourth Proportional to 4,275.53, 6,408.94 and 2,716.68

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Solution

The fourth proportional to 4,275.53, 6,408.94 and 2,716.68 is: 4,072.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,275.53 : 6,408.94 = 2,716.68 : x
  2. Step 2: Convert to fraction form
    4,275.53/6,408.94 = 2,716.68/x
  3. Step 3: Cross multiply
    4,275.53x = 6,408.94 × 2,716.68
  4. Step 4: Simplify right side
    4,275.53x = 17,411,039.12
  5. Step 5: Solve for x
    x = 17,411,039.12/4,275.53
  6. Step 6: Final answer
    x = 4,072.25

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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.