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Finding the Fourth Proportional to 4,223.54, 6,336.42 and 1,591.08

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Solution

The fourth proportional to 4,223.54, 6,336.42 and 1,591.08 is: 2,387.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,223.54 : 6,336.42 = 1,591.08 : x
  2. Step 2: Convert to fraction form
    4,223.54/6,336.42 = 1,591.08/x
  3. Step 3: Cross multiply
    4,223.54x = 6,336.42 × 1,591.08
  4. Step 4: Simplify right side
    4,223.54x = 10,081,721.41
  5. Step 5: Solve for x
    x = 10,081,721.41/4,223.54
  6. Step 6: Final answer
    x = 2,387.03

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.