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Finding the Fourth Proportional to 5,971.88, 8,957.13 and 1,589.68

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Solution

The fourth proportional to 5,971.88, 8,957.13 and 1,589.68 is: 2,384.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,971.88 : 8,957.13 = 1,589.68 : x
  2. Step 2: Convert to fraction form
    5,971.88/8,957.13 = 1,589.68/x
  3. Step 3: Cross multiply
    5,971.88x = 8,957.13 × 1,589.68
  4. Step 4: Simplify right side
    5,971.88x = 14,238,934.21
  5. Step 5: Solve for x
    x = 14,238,934.21/5,971.88
  6. Step 6: Final answer
    x = 2,384.33

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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.