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Finding the Fourth Proportional to 3,695.76, 5,100.60 and 2,123.85

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Solution

The fourth proportional to 3,695.76, 5,100.60 and 2,123.85 is: 2,931.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,695.76 : 5,100.60 = 2,123.85 : x
  2. Step 2: Convert to fraction form
    3,695.76/5,100.60 = 2,123.85/x
  3. Step 3: Cross multiply
    3,695.76x = 5,100.60 × 2,123.85
  4. Step 4: Simplify right side
    3,695.76x = 10,832,909.31
  5. Step 5: Solve for x
    x = 10,832,909.31/3,695.76
  6. Step 6: Final answer
    x = 2,931.17

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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.