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Finding the Fourth Proportional to 4,228.56, 5,835.42 and 2,365.56

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Solution

The fourth proportional to 4,228.56, 5,835.42 and 2,365.56 is: 3,264.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,228.56 : 5,835.42 = 2,365.56 : x
  2. Step 2: Convert to fraction form
    4,228.56/5,835.42 = 2,365.56/x
  3. Step 3: Cross multiply
    4,228.56x = 5,835.42 × 2,365.56
  4. Step 4: Simplify right side
    4,228.56x = 13,804,036.14
  5. Step 5: Solve for x
    x = 13,804,036.14/4,228.56
  6. Step 6: Final answer
    x = 3,264.48

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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.