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Finding the Fourth Proportional to 3,534.99, 4,878 and 2,043.51

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Solution

The fourth proportional to 3,534.99, 4,878 and 2,043.51 is: 2,819.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,534.99 : 4,878 = 2,043.51 : x
  2. Step 2: Convert to fraction form
    3,534.99/4,878 = 2,043.51/x
  3. Step 3: Cross multiply
    3,534.99x = 4,878 × 2,043.51
  4. Step 4: Simplify right side
    3,534.99x = 9,968,241.78
  5. Step 5: Solve for x
    x = 9,968,241.78/3,534.99
  6. Step 6: Final answer
    x = 2,819.88

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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.