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Finding the Fourth Proportional to 3,364.89, 5,047.97 and 1,025.11

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Solution

The fourth proportional to 3,364.89, 5,047.97 and 1,025.11 is: 1,537.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,364.89 : 5,047.97 = 1,025.11 : x
  2. Step 2: Convert to fraction form
    3,364.89/5,047.97 = 1,025.11/x
  3. Step 3: Cross multiply
    3,364.89x = 5,047.97 × 1,025.11
  4. Step 4: Simplify right side
    3,364.89x = 5,174,703.08
  5. Step 5: Solve for x
    x = 5,174,703.08/3,364.89
  6. Step 6: Final answer
    x = 1,537.85

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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.