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Finding the Fourth Proportional to 4,636.82, 6,399.42 and 2,646.92

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Solution

The fourth proportional to 4,636.82, 6,399.42 and 2,646.92 is: 3,653.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,636.82 : 6,399.42 = 2,646.92 : x
  2. Step 2: Convert to fraction form
    4,636.82/6,399.42 = 2,646.92/x
  3. Step 3: Cross multiply
    4,636.82x = 6,399.42 × 2,646.92
  4. Step 4: Simplify right side
    4,636.82x = 16,938,752.79
  5. Step 5: Solve for x
    x = 16,938,752.79/4,636.82
  6. Step 6: Final answer
    x = 3,653.10

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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.