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Finding the Fourth Proportional to 3,695.34, 5,100.39 and 2,123.94

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Solution

The fourth proportional to 3,695.34, 5,100.39 and 2,123.94 is: 2,931.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,695.34 : 5,100.39 = 2,123.94 : x
  2. Step 2: Convert to fraction form
    3,695.34/5,100.39 = 2,123.94/x
  3. Step 3: Cross multiply
    3,695.34x = 5,100.39 × 2,123.94
  4. Step 4: Simplify right side
    3,695.34x = 10,832,922.34
  5. Step 5: Solve for x
    x = 10,832,922.34/3,695.34
  6. Step 6: Final answer
    x = 2,931.51

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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.