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Finding the Fourth Proportional to 3,221.53, 4,832.14 and 1,888.07

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Solution

The fourth proportional to 3,221.53, 4,832.14 and 1,888.07 is: 2,832.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,221.53 : 4,832.14 = 1,888.07 : x
  2. Step 2: Convert to fraction form
    3,221.53/4,832.14 = 1,888.07/x
  3. Step 3: Cross multiply
    3,221.53x = 4,832.14 × 1,888.07
  4. Step 4: Simplify right side
    3,221.53x = 9,123,384.97
  5. Step 5: Solve for x
    x = 9,123,384.97/3,221.53
  6. Step 6: Final answer
    x = 2,832.00

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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.