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Finding the Fourth Proportional to 5,833.95, 8,741.21 and 4,099.47

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Solution

The fourth proportional to 5,833.95, 8,741.21 and 4,099.47 is: 6,142.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,833.95 : 8,741.21 = 4,099.47 : x
  2. Step 2: Convert to fraction form
    5,833.95/8,741.21 = 4,099.47/x
  3. Step 3: Cross multiply
    5,833.95x = 8,741.21 × 4,099.47
  4. Step 4: Simplify right side
    5,833.95x = 35,834,307.66
  5. Step 5: Solve for x
    x = 35,834,307.66/5,833.95
  6. Step 6: Final answer
    x = 6,142.37

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Why These Related Problems?

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