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Finding the Fourth Proportional to 4,409.46, 6,069.87 and 3,849.03

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Solution

The fourth proportional to 4,409.46, 6,069.87 and 3,849.03 is: 5,298.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,409.46 : 6,069.87 = 3,849.03 : x
  2. Step 2: Convert to fraction form
    4,409.46/6,069.87 = 3,849.03/x
  3. Step 3: Cross multiply
    4,409.46x = 6,069.87 × 3,849.03
  4. Step 4: Simplify right side
    4,409.46x = 23,363,111.73
  5. Step 5: Solve for x
    x = 23,363,111.73/4,409.46
  6. Step 6: Final answer
    x = 5,298.41

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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.