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Finding the Fourth Proportional to 3,534.52, 4,872.90 and 3,035

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Solution

The fourth proportional to 3,534.52, 4,872.90 and 3,035 is: 4,184.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,534.52 : 4,872.90 = 3,035 : x
  2. Step 2: Convert to fraction form
    3,534.52/4,872.90 = 3,035/x
  3. Step 3: Cross multiply
    3,534.52x = 4,872.90 × 3,035
  4. Step 4: Simplify right side
    3,534.52x = 14,789,251.50
  5. Step 5: Solve for x
    x = 14,789,251.50/3,534.52
  6. Step 6: Final answer
    x = 4,184.23

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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.