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Finding the Fourth Proportional to 4,405.64, 6,073.52 and 3,409.34

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Solution

The fourth proportional to 4,405.64, 6,073.52 and 3,409.34 is: 4,700.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,405.64 : 6,073.52 = 3,409.34 : x
  2. Step 2: Convert to fraction form
    4,405.64/6,073.52 = 3,409.34/x
  3. Step 3: Cross multiply
    4,405.64x = 6,073.52 × 3,409.34
  4. Step 4: Simplify right side
    4,405.64x = 20,706,694.68
  5. Step 5: Solve for x
    x = 20,706,694.68/4,405.64
  6. Step 6: Final answer
    x = 4,700.04

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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.