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Finding the Fourth Proportional to 5,584.23, 7,702.76 and 3,591.33

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Solution

The fourth proportional to 5,584.23, 7,702.76 and 3,591.33 is: 4,953.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,584.23 : 7,702.76 = 3,591.33 : x
  2. Step 2: Convert to fraction form
    5,584.23/7,702.76 = 3,591.33/x
  3. Step 3: Cross multiply
    5,584.23x = 7,702.76 × 3,591.33
  4. Step 4: Simplify right side
    5,584.23x = 27,663,153.07
  5. Step 5: Solve for x
    x = 27,663,153.07/5,584.23
  6. Step 6: Final answer
    x = 4,953.80

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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.