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Finding the Fourth Proportional to 3,235.59, 4,468.64 and 2,057.38

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Solution

The fourth proportional to 3,235.59, 4,468.64 and 2,057.38 is: 2,841.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,235.59 : 4,468.64 = 2,057.38 : x
  2. Step 2: Convert to fraction form
    3,235.59/4,468.64 = 2,057.38/x
  3. Step 3: Cross multiply
    3,235.59x = 4,468.64 × 2,057.38
  4. Step 4: Simplify right side
    3,235.59x = 9,193,669.10
  5. Step 5: Solve for x
    x = 9,193,669.10/3,235.59
  6. Step 6: Final answer
    x = 2,841.42

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.