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Finding the Fourth Proportional to 3,795.60, 5,237.79 and 2,202.17

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Solution

The fourth proportional to 3,795.60, 5,237.79 and 2,202.17 is: 3,038.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,795.60 : 5,237.79 = 2,202.17 : x
  2. Step 2: Convert to fraction form
    3,795.60/5,237.79 = 2,202.17/x
  3. Step 3: Cross multiply
    3,795.60x = 5,237.79 × 2,202.17
  4. Step 4: Simplify right side
    3,795.60x = 11,534,499.02
  5. Step 5: Solve for x
    x = 11,534,499.02/3,795.60
  6. Step 6: Final answer
    x = 3,038.91

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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.