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Finding the Fourth Proportional to 4,466.86, 6,700.90 and 1,544.38

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Solution

The fourth proportional to 4,466.86, 6,700.90 and 1,544.38 is: 2,316.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,466.86 : 6,700.90 = 1,544.38 : x
  2. Step 2: Convert to fraction form
    4,466.86/6,700.90 = 1,544.38/x
  3. Step 3: Cross multiply
    4,466.86x = 6,700.90 × 1,544.38
  4. Step 4: Simplify right side
    4,466.86x = 10,348,735.94
  5. Step 5: Solve for x
    x = 10,348,735.94/4,466.86
  6. Step 6: Final answer
    x = 2,316.78

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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.