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Finding the Fourth Proportional to 4,665.82, 6,995.26 and 2,032.83

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Solution

The fourth proportional to 4,665.82, 6,995.26 and 2,032.83 is: 3,047.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,665.82 : 6,995.26 = 2,032.83 : x
  2. Step 2: Convert to fraction form
    4,665.82/6,995.26 = 2,032.83/x
  3. Step 3: Cross multiply
    4,665.82x = 6,995.26 × 2,032.83
  4. Step 4: Simplify right side
    4,665.82x = 14,220,129.25
  5. Step 5: Solve for x
    x = 14,220,129.25/4,665.82
  6. Step 6: Final answer
    x = 3,047.72

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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.