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Finding the Fourth Proportional to 5,807.20, 8,002.84 and 5,700.56

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Solution

The fourth proportional to 5,807.20, 8,002.84 and 5,700.56 is: 7,855.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,807.20 : 8,002.84 = 5,700.56 : x
  2. Step 2: Convert to fraction form
    5,807.20/8,002.84 = 5,700.56/x
  3. Step 3: Cross multiply
    5,807.20x = 8,002.84 × 5,700.56
  4. Step 4: Simplify right side
    5,807.20x = 45,620,669.59
  5. Step 5: Solve for x
    x = 45,620,669.59/5,807.20
  6. Step 6: Final answer
    x = 7,855.88

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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.