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Finding the Fourth Proportional to 4,636.38, 6,952.40 and 2,689.14

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Solution

The fourth proportional to 4,636.38, 6,952.40 and 2,689.14 is: 4,032.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,636.38 : 6,952.40 = 2,689.14 : x
  2. Step 2: Convert to fraction form
    4,636.38/6,952.40 = 2,689.14/x
  3. Step 3: Cross multiply
    4,636.38x = 6,952.40 × 2,689.14
  4. Step 4: Simplify right side
    4,636.38x = 18,695,976.94
  5. Step 5: Solve for x
    x = 18,695,976.94/4,636.38
  6. Step 6: Final answer
    x = 4,032.45

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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.