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Finding the Fourth Proportional to 4,733.57, 6,522.72 and 3,664.88

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Solution

The fourth proportional to 4,733.57, 6,522.72 and 3,664.88 is: 5,050.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,733.57 : 6,522.72 = 3,664.88 : x
  2. Step 2: Convert to fraction form
    4,733.57/6,522.72 = 3,664.88/x
  3. Step 3: Cross multiply
    4,733.57x = 6,522.72 × 3,664.88
  4. Step 4: Simplify right side
    4,733.57x = 23,904,986.07
  5. Step 5: Solve for x
    x = 23,904,986.07/4,733.57
  6. Step 6: Final answer
    x = 5,050.10

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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.