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Finding the Fourth Proportional to 5,448, 8,175.10 and 4,534.62

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Solution

The fourth proportional to 5,448, 8,175.10 and 4,534.62 is: 6,804.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,448 : 8,175.10 = 4,534.62 : x
  2. Step 2: Convert to fraction form
    5,448/8,175.10 = 4,534.62/x
  3. Step 3: Cross multiply
    5,448x = 8,175.10 × 4,534.62
  4. Step 4: Simplify right side
    5,448x = 37,070,971.96
  5. Step 5: Solve for x
    x = 37,070,971.96/5,448
  6. Step 6: Final answer
    x = 6,804.51

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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.