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Finding the Fourth Proportional to 5,484.99, 8,227.49 and 1,589.40

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Solution

The fourth proportional to 5,484.99, 8,227.49 and 1,589.40 is: 2,384.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,484.99 : 8,227.49 = 1,589.40 : x
  2. Step 2: Convert to fraction form
    5,484.99/8,227.49 = 1,589.40/x
  3. Step 3: Cross multiply
    5,484.99x = 8,227.49 × 1,589.40
  4. Step 4: Simplify right side
    5,484.99x = 13,076,772.61
  5. Step 5: Solve for x
    x = 13,076,772.61/5,484.99
  6. Step 6: Final answer
    x = 2,384.10

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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.