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Finding the Fourth Proportional to 4,202.83, 5,800.17 and 2,435.01

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Solution

The fourth proportional to 4,202.83, 5,800.17 and 2,435.01 is: 3,360.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,202.83 : 5,800.17 = 2,435.01 : x
  2. Step 2: Convert to fraction form
    4,202.83/5,800.17 = 2,435.01/x
  3. Step 3: Cross multiply
    4,202.83x = 5,800.17 × 2,435.01
  4. Step 4: Simplify right side
    4,202.83x = 14,123,471.95
  5. Step 5: Solve for x
    x = 14,123,471.95/4,202.83
  6. Step 6: Final answer
    x = 3,360.47

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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.