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Finding the Fourth Proportional to 5,700.55, 7,866.54 and 3,577.22

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Solution

The fourth proportional to 5,700.55, 7,866.54 and 3,577.22 is: 4,936.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,700.55 : 7,866.54 = 3,577.22 : x
  2. Step 2: Convert to fraction form
    5,700.55/7,866.54 = 3,577.22/x
  3. Step 3: Cross multiply
    5,700.55x = 7,866.54 × 3,577.22
  4. Step 4: Simplify right side
    5,700.55x = 28,140,304.89
  5. Step 5: Solve for x
    x = 28,140,304.89/5,700.55
  6. Step 6: Final answer
    x = 4,936.42

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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.