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Finding the Fourth Proportional to 3,334.30, 5,000.10 and 1,141.90

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Solution

The fourth proportional to 3,334.30, 5,000.10 and 1,141.90 is: 1,712.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,334.30 : 5,000.10 = 1,141.90 : x
  2. Step 2: Convert to fraction form
    3,334.30/5,000.10 = 1,141.90/x
  3. Step 3: Cross multiply
    3,334.30x = 5,000.10 × 1,141.90
  4. Step 4: Simplify right side
    3,334.30x = 5,709,614.19
  5. Step 5: Solve for x
    x = 5,709,614.19/3,334.30
  6. Step 6: Final answer
    x = 1,712.39

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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.