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Finding the Fourth Proportional to 5,900.69, 8,141.65 and 3,415.25

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Solution

The fourth proportional to 5,900.69, 8,141.65 and 3,415.25 is: 4,712.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,900.69 : 8,141.65 = 3,415.25 : x
  2. Step 2: Convert to fraction form
    5,900.69/8,141.65 = 3,415.25/x
  3. Step 3: Cross multiply
    5,900.69x = 8,141.65 × 3,415.25
  4. Step 4: Simplify right side
    5,900.69x = 27,805,753.09
  5. Step 5: Solve for x
    x = 27,805,753.09/5,900.69
  6. Step 6: Final answer
    x = 4,712.29

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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.