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Finding the Fourth Proportional to 3,777.63, 5,666.64 and 2,678.86

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Solution

The fourth proportional to 3,777.63, 5,666.64 and 2,678.86 is: 4,018.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,777.63 : 5,666.64 = 2,678.86 : x
  2. Step 2: Convert to fraction form
    3,777.63/5,666.64 = 2,678.86/x
  3. Step 3: Cross multiply
    3,777.63x = 5,666.64 × 2,678.86
  4. Step 4: Simplify right side
    3,777.63x = 15,180,135.23
  5. Step 5: Solve for x
    x = 15,180,135.23/3,777.63
  6. Step 6: Final answer
    x = 4,018.43

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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.