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Finding the Fourth Proportional to 4,280.57, 6,410.36 and 3,535.62

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Solution

The fourth proportional to 4,280.57, 6,410.36 and 3,535.62 is: 5,294.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,280.57 : 6,410.36 = 3,535.62 : x
  2. Step 2: Convert to fraction form
    4,280.57/6,410.36 = 3,535.62/x
  3. Step 3: Cross multiply
    4,280.57x = 6,410.36 × 3,535.62
  4. Step 4: Simplify right side
    4,280.57x = 22,664,597.02
  5. Step 5: Solve for x
    x = 22,664,597.02/4,280.57
  6. Step 6: Final answer
    x = 5,294.76

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.