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Finding the Fourth Proportional to 3,801.76, 5,246.45 and 2,123.23

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Solution

The fourth proportional to 3,801.76, 5,246.45 and 2,123.23 is: 2,930.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,801.76 : 5,246.45 = 2,123.23 : x
  2. Step 2: Convert to fraction form
    3,801.76/5,246.45 = 2,123.23/x
  3. Step 3: Cross multiply
    3,801.76x = 5,246.45 × 2,123.23
  4. Step 4: Simplify right side
    3,801.76x = 11,139,429.79
  5. Step 5: Solve for x
    x = 11,139,429.79/3,801.76
  6. Step 6: Final answer
    x = 2,930.07

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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.