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Finding the Fourth Proportional to 5,252.94, 7,874.55 and 2,329.65

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Solution

The fourth proportional to 5,252.94, 7,874.55 and 2,329.65 is: 3,492.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,252.94 : 7,874.55 = 2,329.65 : x
  2. Step 2: Convert to fraction form
    5,252.94/7,874.55 = 2,329.65/x
  3. Step 3: Cross multiply
    5,252.94x = 7,874.55 × 2,329.65
  4. Step 4: Simplify right side
    5,252.94x = 18,344,945.41
  5. Step 5: Solve for x
    x = 18,344,945.41/5,252.94
  6. Step 6: Final answer
    x = 3,492.32

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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.