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Finding the Fourth Proportional to 6,564.78, 9,058.50 and 3,770.28

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Solution

The fourth proportional to 6,564.78, 9,058.50 and 3,770.28 is: 5,202.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,564.78 : 9,058.50 = 3,770.28 : x
  2. Step 2: Convert to fraction form
    6,564.78/9,058.50 = 3,770.28/x
  3. Step 3: Cross multiply
    6,564.78x = 9,058.50 × 3,770.28
  4. Step 4: Simplify right side
    6,564.78x = 34,153,081.38
  5. Step 5: Solve for x
    x = 34,153,081.38/6,564.78
  6. Step 6: Final answer
    x = 5,202.47

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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.