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Finding the Fourth Proportional to 3,695.38, 5,099.11 and 2,123.47

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Solution

The fourth proportional to 3,695.38, 5,099.11 and 2,123.47 is: 2,930.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,695.38 : 5,099.11 = 2,123.47 : x
  2. Step 2: Convert to fraction form
    3,695.38/5,099.11 = 2,123.47/x
  3. Step 3: Cross multiply
    3,695.38x = 5,099.11 × 2,123.47
  4. Step 4: Simplify right side
    3,695.38x = 10,827,807.11
  5. Step 5: Solve for x
    x = 10,827,807.11/3,695.38
  6. Step 6: Final answer
    x = 2,930.09

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.