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Finding the Fourth Proportional to 5,921, 8,881.50 and 1,817

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Solution

The fourth proportional to 5,921, 8,881.50 and 1,817 is: 2,725.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,921 : 8,881.50 = 1,817 : x
  2. Step 2: Convert to fraction form
    5,921/8,881.50 = 1,817/x
  3. Step 3: Cross multiply
    5,921x = 8,881.50 × 1,817
  4. Step 4: Simplify right side
    5,921x = 16,137,685.50
  5. Step 5: Solve for x
    x = 16,137,685.50/5,921
  6. Step 6: Final answer
    x = 2,725.50

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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.