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Finding the Fourth Proportional to 4,636.19, 6,952.44 and 2,689.76

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Solution

The fourth proportional to 4,636.19, 6,952.44 and 2,689.76 is: 4,033.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,636.19 : 6,952.44 = 2,689.76 : x
  2. Step 2: Convert to fraction form
    4,636.19/6,952.44 = 2,689.76/x
  3. Step 3: Cross multiply
    4,636.19x = 6,952.44 × 2,689.76
  4. Step 4: Simplify right side
    4,636.19x = 18,700,395.01
  5. Step 5: Solve for x
    x = 18,700,395.01/4,636.19
  6. Step 6: Final answer
    x = 4,033.57

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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.