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Finding the Fourth Proportional to 3,459, 4,773.25 and 2,116.84

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Solution

The fourth proportional to 3,459, 4,773.25 and 2,116.84 is: 2,921.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,459 : 4,773.25 = 2,116.84 : x
  2. Step 2: Convert to fraction form
    3,459/4,773.25 = 2,116.84/x
  3. Step 3: Cross multiply
    3,459x = 4,773.25 × 2,116.84
  4. Step 4: Simplify right side
    3,459x = 10,104,206.53
  5. Step 5: Solve for x
    x = 10,104,206.53/3,459
  6. Step 6: Final answer
    x = 2,921.14

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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.