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Finding the Fourth Proportional to 4,733.63, 6,532 and 3,052.07

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Solution

The fourth proportional to 4,733.63, 6,532 and 3,052.07 is: 4,211.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,733.63 : 6,532 = 3,052.07 : x
  2. Step 2: Convert to fraction form
    4,733.63/6,532 = 3,052.07/x
  3. Step 3: Cross multiply
    4,733.63x = 6,532 × 3,052.07
  4. Step 4: Simplify right side
    4,733.63x = 19,936,121.24
  5. Step 5: Solve for x
    x = 19,936,121.24/4,733.63
  6. Step 6: Final answer
    x = 4,211.59

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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.