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Finding the Fourth Proportional to 3,777.47, 5,666.05 and 1,144.87

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Solution

The fourth proportional to 3,777.47, 5,666.05 and 1,144.87 is: 1,717.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,777.47 : 5,666.05 = 1,144.87 : x
  2. Step 2: Convert to fraction form
    3,777.47/5,666.05 = 1,144.87/x
  3. Step 3: Cross multiply
    3,777.47x = 5,666.05 × 1,144.87
  4. Step 4: Simplify right side
    3,777.47x = 6,486,877.93
  5. Step 5: Solve for x
    x = 6,486,877.93/3,777.47
  6. Step 6: Final answer
    x = 1,717.26

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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.