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Finding the Fourth Proportional to 4,192.56, 5,785.56 and 2,329.68

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Solution

The fourth proportional to 4,192.56, 5,785.56 and 2,329.68 is: 3,214.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,192.56 : 5,785.56 = 2,329.68 : x
  2. Step 2: Convert to fraction form
    4,192.56/5,785.56 = 2,329.68/x
  3. Step 3: Cross multiply
    4,192.56x = 5,785.56 × 2,329.68
  4. Step 4: Simplify right side
    4,192.56x = 13,478,503.42
  5. Step 5: Solve for x
    x = 13,478,503.42/4,192.56
  6. Step 6: Final answer
    x = 3,214.86

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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.