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Finding the Fourth Proportional to 3,219.84, 4,832.16 and 2,123.76

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Solution

The fourth proportional to 3,219.84, 4,832.16 and 2,123.76 is: 3,187.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,219.84 : 4,832.16 = 2,123.76 : x
  2. Step 2: Convert to fraction form
    3,219.84/4,832.16 = 2,123.76/x
  3. Step 3: Cross multiply
    3,219.84x = 4,832.16 × 2,123.76
  4. Step 4: Simplify right side
    3,219.84x = 10,262,348.12
  5. Step 5: Solve for x
    x = 10,262,348.12/3,219.84
  6. Step 6: Final answer
    x = 3,187.22

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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.