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Finding the Fourth Proportional to 5,981.74, 8,971.93 and 1,599.54

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Solution

The fourth proportional to 5,981.74, 8,971.93 and 1,599.54 is: 2,399.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,981.74 : 8,971.93 = 1,599.54 : x
  2. Step 2: Convert to fraction form
    5,981.74/8,971.93 = 1,599.54/x
  3. Step 3: Cross multiply
    5,981.74x = 8,971.93 × 1,599.54
  4. Step 4: Simplify right side
    5,981.74x = 14,350,990.39
  5. Step 5: Solve for x
    x = 14,350,990.39/5,981.74
  6. Step 6: Final answer
    x = 2,399.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.