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Finding the Fourth Proportional to 3,802.37, 5,703.89 and 1,462.95

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Solution

The fourth proportional to 3,802.37, 5,703.89 and 1,462.95 is: 2,194.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,802.37 : 5,703.89 = 1,462.95 : x
  2. Step 2: Convert to fraction form
    3,802.37/5,703.89 = 1,462.95/x
  3. Step 3: Cross multiply
    3,802.37x = 5,703.89 × 1,462.95
  4. Step 4: Simplify right side
    3,802.37x = 8,344,498.56
  5. Step 5: Solve for x
    x = 8,344,498.56/3,802.37
  6. Step 6: Final answer
    x = 2,194.55

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.