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Finding the Fourth Proportional to 4,176.55, 5,764.13 and 2,408.22

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Solution

The fourth proportional to 4,176.55, 5,764.13 and 2,408.22 is: 3,323.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,176.55 : 5,764.13 = 2,408.22 : x
  2. Step 2: Convert to fraction form
    4,176.55/5,764.13 = 2,408.22/x
  3. Step 3: Cross multiply
    4,176.55x = 5,764.13 × 2,408.22
  4. Step 4: Simplify right side
    4,176.55x = 13,881,293.15
  5. Step 5: Solve for x
    x = 13,881,293.15/4,176.55
  6. Step 6: Final answer
    x = 3,323.63

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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.