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Finding the Fourth Proportional to 5,986.34, 8,975.84 and 2,284.60

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Solution

The fourth proportional to 5,986.34, 8,975.84 and 2,284.60 is: 3,425.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,986.34 : 8,975.84 = 2,284.60 : x
  2. Step 2: Convert to fraction form
    5,986.34/8,975.84 = 2,284.60/x
  3. Step 3: Cross multiply
    5,986.34x = 8,975.84 × 2,284.60
  4. Step 4: Simplify right side
    5,986.34x = 20,506,204.06
  5. Step 5: Solve for x
    x = 20,506,204.06/5,986.34
  6. Step 6: Final answer
    x = 3,425.50

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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.