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Finding the Fourth Proportional to 4,409.09, 6,084.64 and 2,419.64

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Solution

The fourth proportional to 4,409.09, 6,084.64 and 2,419.64 is: 3,339.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,409.09 : 6,084.64 = 2,419.64 : x
  2. Step 2: Convert to fraction form
    4,409.09/6,084.64 = 2,419.64/x
  3. Step 3: Cross multiply
    4,409.09x = 6,084.64 × 2,419.64
  4. Step 4: Simplify right side
    4,409.09x = 14,722,638.33
  5. Step 5: Solve for x
    x = 14,722,638.33/4,409.09
  6. Step 6: Final answer
    x = 3,339.16

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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.