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Finding the Fourth Proportional to 4,466.74, 6,700.77 and 4,193.38

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Solution

The fourth proportional to 4,466.74, 6,700.77 and 4,193.38 is: 6,290.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,466.74 : 6,700.77 = 4,193.38 : x
  2. Step 2: Convert to fraction form
    4,466.74/6,700.77 = 4,193.38/x
  3. Step 3: Cross multiply
    4,466.74x = 6,700.77 × 4,193.38
  4. Step 4: Simplify right side
    4,466.74x = 28,098,874.90
  5. Step 5: Solve for x
    x = 28,098,874.90/4,466.74
  6. Step 6: Final answer
    x = 6,290.69

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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.