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Finding the Fourth Proportional to 5,840.11, 8,059.14 and 3,187.46

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Solution

The fourth proportional to 5,840.11, 8,059.14 and 3,187.46 is: 4,398.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,840.11 : 8,059.14 = 3,187.46 : x
  2. Step 2: Convert to fraction form
    5,840.11/8,059.14 = 3,187.46/x
  3. Step 3: Cross multiply
    5,840.11x = 8,059.14 × 3,187.46
  4. Step 4: Simplify right side
    5,840.11x = 25,688,186.38
  5. Step 5: Solve for x
    x = 25,688,186.38/5,840.11
  6. Step 6: Final answer
    x = 4,398.58

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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.