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Finding the Fourth Proportional to 6,564.17, 9,058.77 and 3,580.17

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Solution

The fourth proportional to 6,564.17, 9,058.77 and 3,580.17 is: 4,940.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,564.17 : 9,058.77 = 3,580.17 : x
  2. Step 2: Convert to fraction form
    6,564.17/9,058.77 = 3,580.17/x
  3. Step 3: Cross multiply
    6,564.17x = 9,058.77 × 3,580.17
  4. Step 4: Simplify right side
    6,564.17x = 32,431,936.59
  5. Step 5: Solve for x
    x = 32,431,936.59/6,564.17
  6. Step 6: Final answer
    x = 4,940.76

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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.