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Finding the Fourth Proportional to 6,032.27, 9,048.92 and 1,649.77

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Solution

The fourth proportional to 6,032.27, 9,048.92 and 1,649.77 is: 2,474.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,032.27 : 9,048.92 = 1,649.77 : x
  2. Step 2: Convert to fraction form
    6,032.27/9,048.92 = 1,649.77/x
  3. Step 3: Cross multiply
    6,032.27x = 9,048.92 × 1,649.77
  4. Step 4: Simplify right side
    6,032.27x = 14,928,605.88
  5. Step 5: Solve for x
    x = 14,928,605.88/6,032.27
  6. Step 6: Final answer
    x = 2,474.79

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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.