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Finding the Fourth Proportional to 5,837.24, 8,041.70 and 4,065.64

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Solution

The fourth proportional to 5,837.24, 8,041.70 and 4,065.64 is: 5,601.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,837.24 : 8,041.70 = 4,065.64 : x
  2. Step 2: Convert to fraction form
    5,837.24/8,041.70 = 4,065.64/x
  3. Step 3: Cross multiply
    5,837.24x = 8,041.70 × 4,065.64
  4. Step 4: Simplify right side
    5,837.24x = 32,694,657.19
  5. Step 5: Solve for x
    x = 32,694,657.19/5,837.24
  6. Step 6: Final answer
    x = 5,601.05

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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.