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Finding the Fourth Proportional to 3,781.48, 5,216.10 and 2,209

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Solution

The fourth proportional to 3,781.48, 5,216.10 and 2,209 is: 3,047.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,781.48 : 5,216.10 = 2,209 : x
  2. Step 2: Convert to fraction form
    3,781.48/5,216.10 = 2,209/x
  3. Step 3: Cross multiply
    3,781.48x = 5,216.10 × 2,209
  4. Step 4: Simplify right side
    3,781.48x = 11,522,364.90
  5. Step 5: Solve for x
    x = 11,522,364.90/3,781.48
  6. Step 6: Final answer
    x = 3,047.05

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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.