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Finding the Fourth Proportional to 6,690.57, 9,232.98 and 3,706.59

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Solution

The fourth proportional to 6,690.57, 9,232.98 and 3,706.59 is: 5,115.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,690.57 : 9,232.98 = 3,706.59 : x
  2. Step 2: Convert to fraction form
    6,690.57/9,232.98 = 3,706.59/x
  3. Step 3: Cross multiply
    6,690.57x = 9,232.98 × 3,706.59
  4. Step 4: Simplify right side
    6,690.57x = 34,222,871.34
  5. Step 5: Solve for x
    x = 34,222,871.34/6,690.57
  6. Step 6: Final answer
    x = 5,115.09

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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.