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Finding the Fourth Proportional to 5,833.70, 8,740.80 and 4,099.22

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Solution

The fourth proportional to 5,833.70, 8,740.80 and 4,099.22 is: 6,141.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,833.70 : 8,740.80 = 4,099.22 : x
  2. Step 2: Convert to fraction form
    5,833.70/8,740.80 = 4,099.22/x
  3. Step 3: Cross multiply
    5,833.70x = 8,740.80 × 4,099.22
  4. Step 4: Simplify right side
    5,833.70x = 35,830,462.18
  5. Step 5: Solve for x
    x = 35,830,462.18/5,833.70
  6. Step 6: Final answer
    x = 6,141.98

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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.