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Finding the Fourth Proportional to 5,837.77, 8,056.14 and 3,185.02

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Solution

The fourth proportional to 5,837.77, 8,056.14 and 3,185.02 is: 4,395.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,837.77 : 8,056.14 = 3,185.02 : x
  2. Step 2: Convert to fraction form
    5,837.77/8,056.14 = 3,185.02/x
  3. Step 3: Cross multiply
    5,837.77x = 8,056.14 × 3,185.02
  4. Step 4: Simplify right side
    5,837.77x = 25,658,926.74
  5. Step 5: Solve for x
    x = 25,658,926.74/5,837.77
  6. Step 6: Final answer
    x = 4,395.33

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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.