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Finding the Fourth Proportional to 4,278.26, 5,902.05 and 2,509.11

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Solution

The fourth proportional to 4,278.26, 5,902.05 and 2,509.11 is: 3,461.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,278.26 : 5,902.05 = 2,509.11 : x
  2. Step 2: Convert to fraction form
    4,278.26/5,902.05 = 2,509.11/x
  3. Step 3: Cross multiply
    4,278.26x = 5,902.05 × 2,509.11
  4. Step 4: Simplify right side
    4,278.26x = 14,808,892.68
  5. Step 5: Solve for x
    x = 14,808,892.68/4,278.26
  6. Step 6: Final answer
    x = 3,461.43

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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.