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Finding the Fourth Proportional to 6,564.88, 9,058.44 and 3,770.56

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Solution

The fourth proportional to 6,564.88, 9,058.44 and 3,770.56 is: 5,202.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,564.88 : 9,058.44 = 3,770.56 : x
  2. Step 2: Convert to fraction form
    6,564.88/9,058.44 = 3,770.56/x
  3. Step 3: Cross multiply
    6,564.88x = 9,058.44 × 3,770.56
  4. Step 4: Simplify right side
    6,564.88x = 34,155,391.53
  5. Step 5: Solve for x
    x = 34,155,391.53/6,564.88
  6. Step 6: Final answer
    x = 5,202.74

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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.