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Finding the Fourth Proportional to 5,737.06, 8,602.74 and 1,840.96

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Solution

The fourth proportional to 5,737.06, 8,602.74 and 1,840.96 is: 2,760.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,737.06 : 8,602.74 = 1,840.96 : x
  2. Step 2: Convert to fraction form
    5,737.06/8,602.74 = 1,840.96/x
  3. Step 3: Cross multiply
    5,737.06x = 8,602.74 × 1,840.96
  4. Step 4: Simplify right side
    5,737.06x = 15,837,300.23
  5. Step 5: Solve for x
    x = 15,837,300.23/5,737.06
  6. Step 6: Final answer
    x = 2,760.53

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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.