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Finding the Fourth Proportional to 4,409.96, 6,084.62 and 2,640.32

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Solution

The fourth proportional to 4,409.96, 6,084.62 and 2,640.32 is: 3,642.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,409.96 : 6,084.62 = 2,640.32 : x
  2. Step 2: Convert to fraction form
    4,409.96/6,084.62 = 2,640.32/x
  3. Step 3: Cross multiply
    4,409.96x = 6,084.62 × 2,640.32
  4. Step 4: Simplify right side
    4,409.96x = 16,065,300.25
  5. Step 5: Solve for x
    x = 16,065,300.25/4,409.96
  6. Step 6: Final answer
    x = 3,642.96

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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.