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Finding the Fourth Proportional to 3,228.96, 4,847.09 and 1,282.53

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Solution

The fourth proportional to 3,228.96, 4,847.09 and 1,282.53 is: 1,925.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,228.96 : 4,847.09 = 1,282.53 : x
  2. Step 2: Convert to fraction form
    3,228.96/4,847.09 = 1,282.53/x
  3. Step 3: Cross multiply
    3,228.96x = 4,847.09 × 1,282.53
  4. Step 4: Simplify right side
    3,228.96x = 6,216,531.93
  5. Step 5: Solve for x
    x = 6,216,531.93/3,228.96
  6. Step 6: Final answer
    x = 1,925.24

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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.