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Finding the Fourth Proportional to 5,342.78, 7,366.29 and 3,451.16

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Solution

The fourth proportional to 5,342.78, 7,366.29 and 3,451.16 is: 4,758.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,342.78 : 7,366.29 = 3,451.16 : x
  2. Step 2: Convert to fraction form
    5,342.78/7,366.29 = 3,451.16/x
  3. Step 3: Cross multiply
    5,342.78x = 7,366.29 × 3,451.16
  4. Step 4: Simplify right side
    5,342.78x = 25,422,245.40
  5. Step 5: Solve for x
    x = 25,422,245.40/5,342.78
  6. Step 6: Final answer
    x = 4,758.24

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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.