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Finding the Fourth Proportional to 3,938.18, 5,904.03 and 1,857.11

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Solution

The fourth proportional to 3,938.18, 5,904.03 and 1,857.11 is: 2,784.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,938.18 : 5,904.03 = 1,857.11 : x
  2. Step 2: Convert to fraction form
    3,938.18/5,904.03 = 1,857.11/x
  3. Step 3: Cross multiply
    3,938.18x = 5,904.03 × 1,857.11
  4. Step 4: Simplify right side
    3,938.18x = 10,964,433.15
  5. Step 5: Solve for x
    x = 10,964,433.15/3,938.18
  6. Step 6: Final answer
    x = 2,784.14

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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.