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Finding the Fourth Proportional to 6,577.16, 9,076.32 and 3,593.00

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Solution

The fourth proportional to 6,577.16, 9,076.32 and 3,593.00 is: 4,958.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,577.16 : 9,076.32 = 3,593.00 : x
  2. Step 2: Convert to fraction form
    6,577.16/9,076.32 = 3,593.00/x
  3. Step 3: Cross multiply
    6,577.16x = 9,076.32 × 3,593.00
  4. Step 4: Simplify right side
    6,577.16x = 32,611,172.38
  5. Step 5: Solve for x
    x = 32,611,172.38/6,577.16
  6. Step 6: Final answer
    x = 4,958.25

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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.