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Finding the Fourth Proportional to 3,389.07, 5,082.78 and 923.91

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Solution

The fourth proportional to 3,389.07, 5,082.78 and 923.91 is: 1,385.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,389.07 : 5,082.78 = 923.91 : x
  2. Step 2: Convert to fraction form
    3,389.07/5,082.78 = 923.91/x
  3. Step 3: Cross multiply
    3,389.07x = 5,082.78 × 923.91
  4. Step 4: Simplify right side
    3,389.07x = 4,696,005.86
  5. Step 5: Solve for x
    x = 4,696,005.86/3,389.07
  6. Step 6: Final answer
    x = 1,385.63

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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.