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Finding the Fourth Proportional to 3,534.42, 4,871.92 and 2,824.03

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Solution

The fourth proportional to 3,534.42, 4,871.92 and 2,824.03 is: 3,892.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,534.42 : 4,871.92 = 2,824.03 : x
  2. Step 2: Convert to fraction form
    3,534.42/4,871.92 = 2,824.03/x
  3. Step 3: Cross multiply
    3,534.42x = 4,871.92 × 2,824.03
  4. Step 4: Simplify right side
    3,534.42x = 13,758,429.00
  5. Step 5: Solve for x
    x = 13,758,429.00/3,534.42
  6. Step 6: Final answer
    x = 3,892.70

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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.