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Finding the Fourth Proportional to 5,572.49, 8,359.65 and 1,823.18

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Solution

The fourth proportional to 5,572.49, 8,359.65 and 1,823.18 is: 2,735.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,572.49 : 8,359.65 = 1,823.18 : x
  2. Step 2: Convert to fraction form
    5,572.49/8,359.65 = 1,823.18/x
  3. Step 3: Cross multiply
    5,572.49x = 8,359.65 × 1,823.18
  4. Step 4: Simplify right side
    5,572.49x = 15,241,104.89
  5. Step 5: Solve for x
    x = 15,241,104.89/5,572.49
  6. Step 6: Final answer
    x = 2,735.06

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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.