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Finding the Fourth Proportional to 5,837.34, 8,055.54 and 3,741.47

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Solution

The fourth proportional to 5,837.34, 8,055.54 and 3,741.47 is: 5,163.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,837.34 : 8,055.54 = 3,741.47 : x
  2. Step 2: Convert to fraction form
    5,837.34/8,055.54 = 3,741.47/x
  3. Step 3: Cross multiply
    5,837.34x = 8,055.54 × 3,741.47
  4. Step 4: Simplify right side
    5,837.34x = 30,139,551.17
  5. Step 5: Solve for x
    x = 30,139,551.17/5,837.34
  6. Step 6: Final answer
    x = 5,163.23

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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.