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Finding the Fourth Proportional to 4,612.24, 6,859.13 and 4,466.44

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Solution

The fourth proportional to 4,612.24, 6,859.13 and 4,466.44 is: 6,642.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,612.24 : 6,859.13 = 4,466.44 : x
  2. Step 2: Convert to fraction form
    4,612.24/6,859.13 = 4,466.44/x
  3. Step 3: Cross multiply
    4,612.24x = 6,859.13 × 4,466.44
  4. Step 4: Simplify right side
    4,612.24x = 30,635,892.60
  5. Step 5: Solve for x
    x = 30,635,892.60/4,612.24
  6. Step 6: Final answer
    x = 6,642.30

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.