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Finding the Fourth Proportional to 4,228.35, 5,835.11 and 2,365.35

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Solution

The fourth proportional to 4,228.35, 5,835.11 and 2,365.35 is: 3,264.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,228.35 : 5,835.11 = 2,365.35 : x
  2. Step 2: Convert to fraction form
    4,228.35/5,835.11 = 2,365.35/x
  3. Step 3: Cross multiply
    4,228.35x = 5,835.11 × 2,365.35
  4. Step 4: Simplify right side
    4,228.35x = 13,802,065.61
  5. Step 5: Solve for x
    x = 13,802,065.61/4,228.35
  6. Step 6: Final answer
    x = 3,264.17

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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.