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Finding the Fourth Proportional to 4,602.92, 6,355.78 and 3,752.31

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Solution

The fourth proportional to 4,602.92, 6,355.78 and 3,752.31 is: 5,181.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,602.92 : 6,355.78 = 3,752.31 : x
  2. Step 2: Convert to fraction form
    4,602.92/6,355.78 = 3,752.31/x
  3. Step 3: Cross multiply
    4,602.92x = 6,355.78 × 3,752.31
  4. Step 4: Simplify right side
    4,602.92x = 23,848,847.47
  5. Step 5: Solve for x
    x = 23,848,847.47/4,602.92
  6. Step 6: Final answer
    x = 5,181.24

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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.