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Finding the Fourth Proportional to 4,205, 5,802.90 and 2,342.44

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Solution

The fourth proportional to 4,205, 5,802.90 and 2,342.44 is: 3,232.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,205 : 5,802.90 = 2,342.44 : x
  2. Step 2: Convert to fraction form
    4,205/5,802.90 = 2,342.44/x
  3. Step 3: Cross multiply
    4,205x = 5,802.90 × 2,342.44
  4. Step 4: Simplify right side
    4,205x = 13,592,945.08
  5. Step 5: Solve for x
    x = 13,592,945.08/4,205
  6. Step 6: Final answer
    x = 3,232.57

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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.