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Finding the Fourth Proportional to 5,740.40, 8,608.57 and 1,843.76

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Solution

The fourth proportional to 5,740.40, 8,608.57 and 1,843.76 is: 2,764.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,740.40 : 8,608.57 = 1,843.76 : x
  2. Step 2: Convert to fraction form
    5,740.40/8,608.57 = 1,843.76/x
  3. Step 3: Cross multiply
    5,740.40x = 8,608.57 × 1,843.76
  4. Step 4: Simplify right side
    5,740.40x = 15,872,089.37
  5. Step 5: Solve for x
    x = 15,872,089.37/5,740.40
  6. Step 6: Final answer
    x = 2,764.98

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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.