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Finding the Fourth Proportional to 4,466.29, 6,703.94 and 3,949.69

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Solution

The fourth proportional to 4,466.29, 6,703.94 and 3,949.69 is: 5,928.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,466.29 : 6,703.94 = 3,949.69 : x
  2. Step 2: Convert to fraction form
    4,466.29/6,703.94 = 3,949.69/x
  3. Step 3: Cross multiply
    4,466.29x = 6,703.94 × 3,949.69
  4. Step 4: Simplify right side
    4,466.29x = 26,478,484.78
  5. Step 5: Solve for x
    x = 26,478,484.78/4,466.29
  6. Step 6: Final answer
    x = 5,928.52

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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.