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Finding the Fourth Proportional to 6,577.34, 9,076.70 and 3,593.16

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Solution

The fourth proportional to 6,577.34, 9,076.70 and 3,593.16 is: 4,958.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,577.34 : 9,076.70 = 3,593.16 : x
  2. Step 2: Convert to fraction form
    6,577.34/9,076.70 = 3,593.16/x
  3. Step 3: Cross multiply
    6,577.34x = 9,076.70 × 3,593.16
  4. Step 4: Simplify right side
    6,577.34x = 32,614,044.35
  5. Step 5: Solve for x
    x = 32,614,044.35/6,577.34
  6. Step 6: Final answer
    x = 4,958.55

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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.