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Finding the Fourth Proportional to 3,802.40, 5,247.16 and 2,123.68

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Solution

The fourth proportional to 3,802.40, 5,247.16 and 2,123.68 is: 2,930.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,802.40 : 5,247.16 = 2,123.68 : x
  2. Step 2: Convert to fraction form
    3,802.40/5,247.16 = 2,123.68/x
  3. Step 3: Cross multiply
    3,802.40x = 5,247.16 × 2,123.68
  4. Step 4: Simplify right side
    3,802.40x = 11,143,288.75
  5. Step 5: Solve for x
    x = 11,143,288.75/3,802.40
  6. Step 6: Final answer
    x = 2,930.59

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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.