Home / 5,201.64-7,802.42-2,082.36

Finding the Fourth Proportional to 5,201.64, 7,802.42 and 2,082.36

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Solution

The fourth proportional to 5,201.64, 7,802.42 and 2,082.36 is: 3,123.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,201.64 : 7,802.42 = 2,082.36 : x
  2. Step 2: Convert to fraction form
    5,201.64/7,802.42 = 2,082.36/x
  3. Step 3: Cross multiply
    5,201.64x = 7,802.42 × 2,082.36
  4. Step 4: Simplify right side
    5,201.64x = 16,247,477.87
  5. Step 5: Solve for x
    x = 16,247,477.87/5,201.64
  6. Step 6: Final answer
    x = 3,123.53

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.