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Finding the Fourth Proportional to 3,229.12, 4,842.94 and 1,584

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Solution

The fourth proportional to 3,229.12, 4,842.94 and 1,584 is: 2,375.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,229.12 : 4,842.94 = 1,584 : x
  2. Step 2: Convert to fraction form
    3,229.12/4,842.94 = 1,584/x
  3. Step 3: Cross multiply
    3,229.12x = 4,842.94 × 1,584
  4. Step 4: Simplify right side
    3,229.12x = 7,671,216.96
  5. Step 5: Solve for x
    x = 7,671,216.96/3,229.12
  6. Step 6: Final answer
    x = 2,375.64

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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.