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Finding the Fourth Proportional to 4,584.75, 6,324.08 and 3,655.47

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Solution

The fourth proportional to 4,584.75, 6,324.08 and 3,655.47 is: 5,042.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,584.75 : 6,324.08 = 3,655.47 : x
  2. Step 2: Convert to fraction form
    4,584.75/6,324.08 = 3,655.47/x
  3. Step 3: Cross multiply
    4,584.75x = 6,324.08 × 3,655.47
  4. Step 4: Simplify right side
    4,584.75x = 23,117,466.44
  5. Step 5: Solve for x
    x = 23,117,466.44/4,584.75
  6. Step 6: Final answer
    x = 5,042.25

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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.