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Finding the Fourth Proportional to 5,967.62, 8,235.27 and 3,314.98

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Solution

The fourth proportional to 5,967.62, 8,235.27 and 3,314.98 is: 4,574.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,967.62 : 8,235.27 = 3,314.98 : x
  2. Step 2: Convert to fraction form
    5,967.62/8,235.27 = 3,314.98/x
  3. Step 3: Cross multiply
    5,967.62x = 8,235.27 × 3,314.98
  4. Step 4: Simplify right side
    5,967.62x = 27,299,719.32
  5. Step 5: Solve for x
    x = 27,299,719.32/5,967.62
  6. Step 6: Final answer
    x = 4,574.64

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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.