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Finding the Fourth Proportional to 4,636.71, 6,398.33 and 2,647.22

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Solution

The fourth proportional to 4,636.71, 6,398.33 and 2,647.22 is: 3,652.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,636.71 : 6,398.33 = 2,647.22 : x
  2. Step 2: Convert to fraction form
    4,636.71/6,398.33 = 2,647.22/x
  3. Step 3: Cross multiply
    4,636.71x = 6,398.33 × 2,647.22
  4. Step 4: Simplify right side
    4,636.71x = 16,937,741.91
  5. Step 5: Solve for x
    x = 16,937,741.91/4,636.71
  6. Step 6: Final answer
    x = 3,652.97

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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.