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Finding the Fourth Proportional to 4,409.50, 6,083 and 2,640.76

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Solution

The fourth proportional to 4,409.50, 6,083 and 2,640.76 is: 3,642.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,409.50 : 6,083 = 2,640.76 : x
  2. Step 2: Convert to fraction form
    4,409.50/6,083 = 2,640.76/x
  3. Step 3: Cross multiply
    4,409.50x = 6,083 × 2,640.76
  4. Step 4: Simplify right side
    4,409.50x = 16,063,743.08
  5. Step 5: Solve for x
    x = 16,063,743.08/4,409.50
  6. Step 6: Final answer
    x = 3,642.99

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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.