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Finding the Fourth Proportional to 3,459, 4,773.46 and 1,887.13

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Solution

The fourth proportional to 3,459, 4,773.46 and 1,887.13 is: 2,604.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,459 : 4,773.46 = 1,887.13 : x
  2. Step 2: Convert to fraction form
    3,459/4,773.46 = 1,887.13/x
  3. Step 3: Cross multiply
    3,459x = 4,773.46 × 1,887.13
  4. Step 4: Simplify right side
    3,459x = 9,008,122.92
  5. Step 5: Solve for x
    x = 9,008,122.92/3,459
  6. Step 6: Final answer
    x = 2,604.26

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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.