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Finding the Fourth Proportional to 4,162.76, 5,744.22 and 2,483.83

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Solution

The fourth proportional to 4,162.76, 5,744.22 and 2,483.83 is: 3,427.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,162.76 : 5,744.22 = 2,483.83 : x
  2. Step 2: Convert to fraction form
    4,162.76/5,744.22 = 2,483.83/x
  3. Step 3: Cross multiply
    4,162.76x = 5,744.22 × 2,483.83
  4. Step 4: Simplify right side
    4,162.76x = 14,267,663.83
  5. Step 5: Solve for x
    x = 14,267,663.83/4,162.76
  6. Step 6: Final answer
    x = 3,427.45

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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.