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Finding the Fourth Proportional to 5,957.61, 8,936.91 and 2,259.84

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Solution

The fourth proportional to 5,957.61, 8,936.91 and 2,259.84 is: 3,389.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,957.61 : 8,936.91 = 2,259.84 : x
  2. Step 2: Convert to fraction form
    5,957.61/8,936.91 = 2,259.84/x
  3. Step 3: Cross multiply
    5,957.61x = 8,936.91 × 2,259.84
  4. Step 4: Simplify right side
    5,957.61x = 20,195,986.69
  5. Step 5: Solve for x
    x = 20,195,986.69/5,957.61
  6. Step 6: Final answer
    x = 3,389.95

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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.