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Finding the Fourth Proportional to 3,285.64, 4,920.42 and 1,726.96

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Solution

The fourth proportional to 3,285.64, 4,920.42 and 1,726.96 is: 2,586.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,285.64 : 4,920.42 = 1,726.96 : x
  2. Step 2: Convert to fraction form
    3,285.64/4,920.42 = 1,726.96/x
  3. Step 3: Cross multiply
    3,285.64x = 4,920.42 × 1,726.96
  4. Step 4: Simplify right side
    3,285.64x = 8,497,368.52
  5. Step 5: Solve for x
    x = 8,497,368.52/3,285.64
  6. Step 6: Final answer
    x = 2,586.21

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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.