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Finding the Fourth Proportional to 3,534.91, 4,878.35 and 2,043.03

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Solution

The fourth proportional to 3,534.91, 4,878.35 and 2,043.03 is: 2,819.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,534.91 : 4,878.35 = 2,043.03 : x
  2. Step 2: Convert to fraction form
    3,534.91/4,878.35 = 2,043.03/x
  3. Step 3: Cross multiply
    3,534.91x = 4,878.35 × 2,043.03
  4. Step 4: Simplify right side
    3,534.91x = 9,966,615.40
  5. Step 5: Solve for x
    x = 9,966,615.40/3,534.91
  6. Step 6: Final answer
    x = 2,819.48

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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.