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Finding the Fourth Proportional to 5,980.88, 8,970.95 and 2,231.93

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Solution

The fourth proportional to 5,980.88, 8,970.95 and 2,231.93 is: 3,347.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,980.88 : 8,970.95 = 2,231.93 : x
  2. Step 2: Convert to fraction form
    5,980.88/8,970.95 = 2,231.93/x
  3. Step 3: Cross multiply
    5,980.88x = 8,970.95 × 2,231.93
  4. Step 4: Simplify right side
    5,980.88x = 20,022,532.43
  5. Step 5: Solve for x
    x = 20,022,532.43/5,980.88
  6. Step 6: Final answer
    x = 3,347.76

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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.