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Finding the Fourth Proportional to 4,466.86, 6,161.22 and 2,695.42

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Solution

The fourth proportional to 4,466.86, 6,161.22 and 2,695.42 is: 3,717.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,466.86 : 6,161.22 = 2,695.42 : x
  2. Step 2: Convert to fraction form
    4,466.86/6,161.22 = 2,695.42/x
  3. Step 3: Cross multiply
    4,466.86x = 6,161.22 × 2,695.42
  4. Step 4: Simplify right side
    4,466.86x = 16,607,075.61
  5. Step 5: Solve for x
    x = 16,607,075.61/4,466.86
  6. Step 6: Final answer
    x = 3,717.84

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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.