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Finding the Fourth Proportional to 5,700.58, 8,551.46 and 1,540.61

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Solution

The fourth proportional to 5,700.58, 8,551.46 and 1,540.61 is: 2,311.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,700.58 : 8,551.46 = 1,540.61 : x
  2. Step 2: Convert to fraction form
    5,700.58/8,551.46 = 1,540.61/x
  3. Step 3: Cross multiply
    5,700.58x = 8,551.46 × 1,540.61
  4. Step 4: Simplify right side
    5,700.58x = 13,174,464.79
  5. Step 5: Solve for x
    x = 13,174,464.79/5,700.58
  6. Step 6: Final answer
    x = 2,311.07

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.