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Finding the Fourth Proportional to 4,384.66, 6,577.34 and 1,462.97

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Solution

The fourth proportional to 4,384.66, 6,577.34 and 1,462.97 is: 2,194.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,384.66 : 6,577.34 = 1,462.97 : x
  2. Step 2: Convert to fraction form
    4,384.66/6,577.34 = 1,462.97/x
  3. Step 3: Cross multiply
    4,384.66x = 6,577.34 × 1,462.97
  4. Step 4: Simplify right side
    4,384.66x = 9,622,451.10
  5. Step 5: Solve for x
    x = 9,622,451.10/4,384.66
  6. Step 6: Final answer
    x = 2,194.57

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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.