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Finding the Fourth Proportional to 5,837.08, 8,741.16 and 5,345.44

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Solution

The fourth proportional to 5,837.08, 8,741.16 and 5,345.44 is: 8,004.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,837.08 : 8,741.16 = 5,345.44 : x
  2. Step 2: Convert to fraction form
    5,837.08/8,741.16 = 5,345.44/x
  3. Step 3: Cross multiply
    5,837.08x = 8,741.16 × 5,345.44
  4. Step 4: Simplify right side
    5,837.08x = 46,725,346.31
  5. Step 5: Solve for x
    x = 46,725,346.31/5,837.08
  6. Step 6: Final answer
    x = 8,004.92

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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.