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Finding the Fourth Proportional to 3,186.42, 4,773.54 and 2,488.69

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Solution

The fourth proportional to 3,186.42, 4,773.54 and 2,488.69 is: 3,728.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,186.42 : 4,773.54 = 2,488.69 : x
  2. Step 2: Convert to fraction form
    3,186.42/4,773.54 = 2,488.69/x
  3. Step 3: Cross multiply
    3,186.42x = 4,773.54 × 2,488.69
  4. Step 4: Simplify right side
    3,186.42x = 11,879,861.26
  5. Step 5: Solve for x
    x = 11,879,861.26/3,186.42
  6. Step 6: Final answer
    x = 3,728.28

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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.