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Finding the Fourth Proportional to 3,835.32, 5,292.54 and 2,263.56

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Solution

The fourth proportional to 3,835.32, 5,292.54 and 2,263.56 is: 3,123.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,835.32 : 5,292.54 = 2,263.56 : x
  2. Step 2: Convert to fraction form
    3,835.32/5,292.54 = 2,263.56/x
  3. Step 3: Cross multiply
    3,835.32x = 5,292.54 × 2,263.56
  4. Step 4: Simplify right side
    3,835.32x = 11,979,981.84
  5. Step 5: Solve for x
    x = 11,979,981.84/3,835.32
  6. Step 6: Final answer
    x = 3,123.59

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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.