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Finding the Fourth Proportional to 4,738.52, 6,538.74 and 2,748.44

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Solution

The fourth proportional to 4,738.52, 6,538.74 and 2,748.44 is: 3,792.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,738.52 : 6,538.74 = 2,748.44 : x
  2. Step 2: Convert to fraction form
    4,738.52/6,538.74 = 2,748.44/x
  3. Step 3: Cross multiply
    4,738.52x = 6,538.74 × 2,748.44
  4. Step 4: Simplify right side
    4,738.52x = 17,971,334.57
  5. Step 5: Solve for x
    x = 17,971,334.57/4,738.52
  6. Step 6: Final answer
    x = 3,792.60

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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.