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Finding the Fourth Proportional to 5,981.88, 8,967.69 and 2,281.50

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Solution

The fourth proportional to 5,981.88, 8,967.69 and 2,281.50 is: 3,420.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,981.88 : 8,967.69 = 2,281.50 : x
  2. Step 2: Convert to fraction form
    5,981.88/8,967.69 = 2,281.50/x
  3. Step 3: Cross multiply
    5,981.88x = 8,967.69 × 2,281.50
  4. Step 4: Simplify right side
    5,981.88x = 20,459,784.74
  5. Step 5: Solve for x
    x = 20,459,784.74/5,981.88
  6. Step 6: Final answer
    x = 3,420.29

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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.