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Finding the Fourth Proportional to 3,493.97, 4,820.59 and 2,148.18

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Solution

The fourth proportional to 3,493.97, 4,820.59 and 2,148.18 is: 2,963.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,493.97 : 4,820.59 = 2,148.18 : x
  2. Step 2: Convert to fraction form
    3,493.97/4,820.59 = 2,148.18/x
  3. Step 3: Cross multiply
    3,493.97x = 4,820.59 × 2,148.18
  4. Step 4: Simplify right side
    3,493.97x = 10,355,495.03
  5. Step 5: Solve for x
    x = 10,355,495.03/3,493.97
  6. Step 6: Final answer
    x = 2,963.82

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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.