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Finding the Fourth Proportional to 4,967.84, 7,432.50 and 3,584.36

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Solution

The fourth proportional to 4,967.84, 7,432.50 and 3,584.36 is: 5,362.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,967.84 : 7,432.50 = 3,584.36 : x
  2. Step 2: Convert to fraction form
    4,967.84/7,432.50 = 3,584.36/x
  3. Step 3: Cross multiply
    4,967.84x = 7,432.50 × 3,584.36
  4. Step 4: Simplify right side
    4,967.84x = 26,640,755.70
  5. Step 5: Solve for x
    x = 26,640,755.70/4,967.84
  6. Step 6: Final answer
    x = 5,362.64

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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.