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Finding the Fourth Proportional to 5,833.64, 8,045.10 and 3,843.47

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Solution

The fourth proportional to 5,833.64, 8,045.10 and 3,843.47 is: 5,300.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,833.64 : 8,045.10 = 3,843.47 : x
  2. Step 2: Convert to fraction form
    5,833.64/8,045.10 = 3,843.47/x
  3. Step 3: Cross multiply
    5,833.64x = 8,045.10 × 3,843.47
  4. Step 4: Simplify right side
    5,833.64x = 30,921,060.27
  5. Step 5: Solve for x
    x = 30,921,060.27/5,833.64
  6. Step 6: Final answer
    x = 5,300.48

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.