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Finding the Fourth Proportional to 4,408.94, 6,613.41 and 1,777.64

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Solution

The fourth proportional to 4,408.94, 6,613.41 and 1,777.64 is: 2,666.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,408.94 : 6,613.41 = 1,777.64 : x
  2. Step 2: Convert to fraction form
    4,408.94/6,613.41 = 1,777.64/x
  3. Step 3: Cross multiply
    4,408.94x = 6,613.41 × 1,777.64
  4. Step 4: Simplify right side
    4,408.94x = 11,756,262.15
  5. Step 5: Solve for x
    x = 11,756,262.15/4,408.94
  6. Step 6: Final answer
    x = 2,666.46

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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.