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Finding the Fourth Proportional to 5,700.42, 7,866.90 and 4,022.37

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Solution

The fourth proportional to 5,700.42, 7,866.90 and 4,022.37 is: 5,551.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,700.42 : 7,866.90 = 4,022.37 : x
  2. Step 2: Convert to fraction form
    5,700.42/7,866.90 = 4,022.37/x
  3. Step 3: Cross multiply
    5,700.42x = 7,866.90 × 4,022.37
  4. Step 4: Simplify right side
    5,700.42x = 31,643,582.55
  5. Step 5: Solve for x
    x = 31,643,582.55/5,700.42
  6. Step 6: Final answer
    x = 5,551.10

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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.