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Finding the Fourth Proportional to 3,942.71, 5,435.95 and 2,598.11

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Solution

The fourth proportional to 3,942.71, 5,435.95 and 2,598.11 is: 3,582.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,942.71 : 5,435.95 = 2,598.11 : x
  2. Step 2: Convert to fraction form
    3,942.71/5,435.95 = 2,598.11/x
  3. Step 3: Cross multiply
    3,942.71x = 5,435.95 × 2,598.11
  4. Step 4: Simplify right side
    3,942.71x = 14,123,183.06
  5. Step 5: Solve for x
    x = 14,123,183.06/3,942.71
  6. Step 6: Final answer
    x = 3,582.10

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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.