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Finding the Fourth Proportional to 3,231.04, 4,847.04 and 1,284.16

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Solution

The fourth proportional to 3,231.04, 4,847.04 and 1,284.16 is: 1,926.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,231.04 : 4,847.04 = 1,284.16 : x
  2. Step 2: Convert to fraction form
    3,231.04/4,847.04 = 1,284.16/x
  3. Step 3: Cross multiply
    3,231.04x = 4,847.04 × 1,284.16
  4. Step 4: Simplify right side
    3,231.04x = 6,224,374.89
  5. Step 5: Solve for x
    x = 6,224,374.89/3,231.04
  6. Step 6: Final answer
    x = 1,926.43

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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.