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Finding the Fourth Proportional to 5,823.68, 8,036.52 and 3,171.20

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Solution

The fourth proportional to 5,823.68, 8,036.52 and 3,171.20 is: 4,376.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,823.68 : 8,036.52 = 3,171.20 : x
  2. Step 2: Convert to fraction form
    5,823.68/8,036.52 = 3,171.20/x
  3. Step 3: Cross multiply
    5,823.68x = 8,036.52 × 3,171.20
  4. Step 4: Simplify right side
    5,823.68x = 25,485,412.22
  5. Step 5: Solve for x
    x = 25,485,412.22/5,823.68
  6. Step 6: Final answer
    x = 4,376.17

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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.