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Finding the Fourth Proportional to 5,589.66, 8,384.51 and 2,302.80

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Solution

The fourth proportional to 5,589.66, 8,384.51 and 2,302.80 is: 3,454.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,589.66 : 8,384.51 = 2,302.80 : x
  2. Step 2: Convert to fraction form
    5,589.66/8,384.51 = 2,302.80/x
  3. Step 3: Cross multiply
    5,589.66x = 8,384.51 × 2,302.80
  4. Step 4: Simplify right side
    5,589.66x = 19,307,849.63
  5. Step 5: Solve for x
    x = 19,307,849.63/5,589.66
  6. Step 6: Final answer
    x = 3,454.21

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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.