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Finding the Fourth Proportional to 5,891.71, 8,130.71 and 3,239.19

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Solution

The fourth proportional to 5,891.71, 8,130.71 and 3,239.19 is: 4,470.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,891.71 : 8,130.71 = 3,239.19 : x
  2. Step 2: Convert to fraction form
    5,891.71/8,130.71 = 3,239.19/x
  3. Step 3: Cross multiply
    5,891.71x = 8,130.71 × 3,239.19
  4. Step 4: Simplify right side
    5,891.71x = 26,336,914.52
  5. Step 5: Solve for x
    x = 26,336,914.52/5,891.71
  6. Step 6: Final answer
    x = 4,470.16

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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.