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Finding the Fourth Proportional to 2,589.59, 3,875.04 and 2,228.73

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Solution

The fourth proportional to 2,589.59, 3,875.04 and 2,228.73 is: 3,335.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,589.59 : 3,875.04 = 2,228.73 : x
  2. Step 2: Convert to fraction form
    2,589.59/3,875.04 = 2,228.73/x
  3. Step 3: Cross multiply
    2,589.59x = 3,875.04 × 2,228.73
  4. Step 4: Simplify right side
    2,589.59x = 8,636,417.90
  5. Step 5: Solve for x
    x = 8,636,417.90/2,589.59
  6. Step 6: Final answer
    x = 3,335.06

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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.