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Finding the Fourth Proportional to 5,577.88, 7,697.70 and 3,060.22

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Solution

The fourth proportional to 5,577.88, 7,697.70 and 3,060.22 is: 4,223.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,577.88 : 7,697.70 = 3,060.22 : x
  2. Step 2: Convert to fraction form
    5,577.88/7,697.70 = 3,060.22/x
  3. Step 3: Cross multiply
    5,577.88x = 7,697.70 × 3,060.22
  4. Step 4: Simplify right side
    5,577.88x = 23,556,655.49
  5. Step 5: Solve for x
    x = 23,556,655.49/5,577.88
  6. Step 6: Final answer
    x = 4,223.23

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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.