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Finding the Fourth Proportional to 4,069.64, 6,104.32 and 1,728.14

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Solution

The fourth proportional to 4,069.64, 6,104.32 and 1,728.14 is: 2,592.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,069.64 : 6,104.32 = 1,728.14 : x
  2. Step 2: Convert to fraction form
    4,069.64/6,104.32 = 1,728.14/x
  3. Step 3: Cross multiply
    4,069.64x = 6,104.32 × 1,728.14
  4. Step 4: Simplify right side
    4,069.64x = 10,549,119.56
  5. Step 5: Solve for x
    x = 10,549,119.56/4,069.64
  6. Step 6: Final answer
    x = 2,592.15

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.