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Finding the Fourth Proportional to 4,880.76, 6,735.46 and 2,642.66

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Solution

The fourth proportional to 4,880.76, 6,735.46 and 2,642.66 is: 3,646.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,880.76 : 6,735.46 = 2,642.66 : x
  2. Step 2: Convert to fraction form
    4,880.76/6,735.46 = 2,642.66/x
  3. Step 3: Cross multiply
    4,880.76x = 6,735.46 × 2,642.66
  4. Step 4: Simplify right side
    4,880.76x = 17,799,524.12
  5. Step 5: Solve for x
    x = 17,799,524.12/4,880.76
  6. Step 6: Final answer
    x = 3,646.88

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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.