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Finding the Fourth Proportional to 4,157.36, 6,209.08 and 3,766.58

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Solution

The fourth proportional to 4,157.36, 6,209.08 and 3,766.58 is: 5,625.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,157.36 : 6,209.08 = 3,766.58 : x
  2. Step 2: Convert to fraction form
    4,157.36/6,209.08 = 3,766.58/x
  3. Step 3: Cross multiply
    4,157.36x = 6,209.08 × 3,766.58
  4. Step 4: Simplify right side
    4,157.36x = 23,386,996.55
  5. Step 5: Solve for x
    x = 23,386,996.55/4,157.36
  6. Step 6: Final answer
    x = 5,625.44

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.