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Finding the Fourth Proportional to 6,564.54, 9,058.74 and 3,731.52

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Solution

The fourth proportional to 6,564.54, 9,058.74 and 3,731.52 is: 5,149.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,564.54 : 9,058.74 = 3,731.52 : x
  2. Step 2: Convert to fraction form
    6,564.54/9,058.74 = 3,731.52/x
  3. Step 3: Cross multiply
    6,564.54x = 9,058.74 × 3,731.52
  4. Step 4: Simplify right side
    6,564.54x = 33,802,869.48
  5. Step 5: Solve for x
    x = 33,802,869.48/6,564.54
  6. Step 6: Final answer
    x = 5,149.31

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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.