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Finding the Fourth Proportional to 4,738.32, 6,539.16 and 2,748.15

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Solution

The fourth proportional to 4,738.32, 6,539.16 and 2,748.15 is: 3,792.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,738.32 : 6,539.16 = 2,748.15 : x
  2. Step 2: Convert to fraction form
    4,738.32/6,539.16 = 2,748.15/x
  3. Step 3: Cross multiply
    4,738.32x = 6,539.16 × 2,748.15
  4. Step 4: Simplify right side
    4,738.32x = 17,970,592.55
  5. Step 5: Solve for x
    x = 17,970,592.55/4,738.32
  6. Step 6: Final answer
    x = 3,792.61

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.