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Finding the Fourth Proportional to 4,738.64, 6,536.16 and 2,967.17

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Solution

The fourth proportional to 4,738.64, 6,536.16 and 2,967.17 is: 4,092.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,738.64 : 6,536.16 = 2,967.17 : x
  2. Step 2: Convert to fraction form
    4,738.64/6,536.16 = 2,967.17/x
  3. Step 3: Cross multiply
    4,738.64x = 6,536.16 × 2,967.17
  4. Step 4: Simplify right side
    4,738.64x = 19,393,865.19
  5. Step 5: Solve for x
    x = 19,393,865.19/4,738.64
  6. Step 6: Final answer
    x = 4,092.71

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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.