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Finding the Fourth Proportional to 3,677.48, 5,073.01 and 2,277.80

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Solution

The fourth proportional to 3,677.48, 5,073.01 and 2,277.80 is: 3,142.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,677.48 : 5,073.01 = 2,277.80 : x
  2. Step 2: Convert to fraction form
    3,677.48/5,073.01 = 2,277.80/x
  3. Step 3: Cross multiply
    3,677.48x = 5,073.01 × 2,277.80
  4. Step 4: Simplify right side
    3,677.48x = 11,555,276.81
  5. Step 5: Solve for x
    x = 11,555,276.81/3,677.48
  6. Step 6: Final answer
    x = 3,142.18

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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.