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Finding the Fourth Proportional to 5,448, 8,168.16 and 2,852.72

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Solution

The fourth proportional to 5,448, 8,168.16 and 2,852.72 is: 4,277.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,448 : 8,168.16 = 2,852.72 : x
  2. Step 2: Convert to fraction form
    5,448/8,168.16 = 2,852.72/x
  3. Step 3: Cross multiply
    5,448x = 8,168.16 × 2,852.72
  4. Step 4: Simplify right side
    5,448x = 23,301,473.40
  5. Step 5: Solve for x
    x = 23,301,473.40/5,448
  6. Step 6: Final answer
    x = 4,277.07

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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.