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Finding the Fourth Proportional to 3,589.73, 5,383.58 and 1,510.21

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Solution

The fourth proportional to 3,589.73, 5,383.58 and 1,510.21 is: 2,264.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,589.73 : 5,383.58 = 1,510.21 : x
  2. Step 2: Convert to fraction form
    3,589.73/5,383.58 = 1,510.21/x
  3. Step 3: Cross multiply
    3,589.73x = 5,383.58 × 1,510.21
  4. Step 4: Simplify right side
    3,589.73x = 8,130,344.03
  5. Step 5: Solve for x
    x = 8,130,344.03/3,589.73
  6. Step 6: Final answer
    x = 2,264.89

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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.