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Finding the Fourth Proportional to 4,122.92, 5,689.90 and 2,329.77

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Solution

The fourth proportional to 4,122.92, 5,689.90 and 2,329.77 is: 3,215.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,122.92 : 5,689.90 = 2,329.77 : x
  2. Step 2: Convert to fraction form
    4,122.92/5,689.90 = 2,329.77/x
  3. Step 3: Cross multiply
    4,122.92x = 5,689.90 × 2,329.77
  4. Step 4: Simplify right side
    4,122.92x = 13,256,158.32
  5. Step 5: Solve for x
    x = 13,256,158.32/4,122.92
  6. Step 6: Final answer
    x = 3,215.24

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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.