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Finding the Fourth Proportional to 4,059.45, 5,602.10 and 2,382.12

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Solution

The fourth proportional to 4,059.45, 5,602.10 and 2,382.12 is: 3,287.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,059.45 : 5,602.10 = 2,382.12 : x
  2. Step 2: Convert to fraction form
    4,059.45/5,602.10 = 2,382.12/x
  3. Step 3: Cross multiply
    4,059.45x = 5,602.10 × 2,382.12
  4. Step 4: Simplify right side
    4,059.45x = 13,344,862.54
  5. Step 5: Solve for x
    x = 13,344,862.54/4,059.45
  6. Step 6: Final answer
    x = 3,287.36

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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.