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Finding the Fourth Proportional to 4,824.66, 7,236.17 and 1,361.10

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Solution

The fourth proportional to 4,824.66, 7,236.17 and 1,361.10 is: 2,041.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,824.66 : 7,236.17 = 1,361.10 : x
  2. Step 2: Convert to fraction form
    4,824.66/7,236.17 = 1,361.10/x
  3. Step 3: Cross multiply
    4,824.66x = 7,236.17 × 1,361.10
  4. Step 4: Simplify right side
    4,824.66x = 9,849,150.99
  5. Step 5: Solve for x
    x = 9,849,150.99/4,824.66
  6. Step 6: Final answer
    x = 2,041.42

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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.