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Finding the Fourth Proportional to 4,164.87, 5,751.82 and 3,602.64

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Solution

The fourth proportional to 4,164.87, 5,751.82 and 3,602.64 is: 4,975.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,164.87 : 5,751.82 = 3,602.64 : x
  2. Step 2: Convert to fraction form
    4,164.87/5,751.82 = 3,602.64/x
  3. Step 3: Cross multiply
    4,164.87x = 5,751.82 × 3,602.64
  4. Step 4: Simplify right side
    4,164.87x = 20,721,699.04
  5. Step 5: Solve for x
    x = 20,721,699.04/4,164.87
  6. Step 6: Final answer
    x = 4,975.36

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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.