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Finding the Fourth Proportional to 5,837.68, 8,055.72 and 3,319.75

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Solution

The fourth proportional to 5,837.68, 8,055.72 and 3,319.75 is: 4,581.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,837.68 : 8,055.72 = 3,319.75 : x
  2. Step 2: Convert to fraction form
    5,837.68/8,055.72 = 3,319.75/x
  3. Step 3: Cross multiply
    5,837.68x = 8,055.72 × 3,319.75
  4. Step 4: Simplify right side
    5,837.68x = 26,742,976.47
  5. Step 5: Solve for x
    x = 26,742,976.47/5,837.68
  6. Step 6: Final answer
    x = 4,581.10

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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.