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Finding the Fourth Proportional to 3,777.19, 5,666.06 and 1,003.80

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Solution

The fourth proportional to 3,777.19, 5,666.06 and 1,003.80 is: 1,505.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,777.19 : 5,666.06 = 1,003.80 : x
  2. Step 2: Convert to fraction form
    3,777.19/5,666.06 = 1,003.80/x
  3. Step 3: Cross multiply
    3,777.19x = 5,666.06 × 1,003.80
  4. Step 4: Simplify right side
    3,777.19x = 5,687,591.03
  5. Step 5: Solve for x
    x = 5,687,591.03/3,777.19
  6. Step 6: Final answer
    x = 1,505.77

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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.