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Finding the Fourth Proportional to 3,927.69, 5,420.48 and 2,599.11

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Solution

The fourth proportional to 3,927.69, 5,420.48 and 2,599.11 is: 3,586.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,927.69 : 5,420.48 = 2,599.11 : x
  2. Step 2: Convert to fraction form
    3,927.69/5,420.48 = 2,599.11/x
  3. Step 3: Cross multiply
    3,927.69x = 5,420.48 × 2,599.11
  4. Step 4: Simplify right side
    3,927.69x = 14,088,410.78
  5. Step 5: Solve for x
    x = 14,088,410.78/3,927.69
  6. Step 6: Final answer
    x = 3,586.95

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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.