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Finding the Fourth Proportional to 4,409.36, 6,082 and 2,639.76

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Solution

The fourth proportional to 4,409.36, 6,082 and 2,639.76 is: 3,641.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,409.36 : 6,082 = 2,639.76 : x
  2. Step 2: Convert to fraction form
    4,409.36/6,082 = 2,639.76/x
  3. Step 3: Cross multiply
    4,409.36x = 6,082 × 2,639.76
  4. Step 4: Simplify right side
    4,409.36x = 16,055,020.32
  5. Step 5: Solve for x
    x = 16,055,020.32/4,409.36
  6. Step 6: Final answer
    x = 3,641.12

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.