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Finding the Fourth Proportional to 5,476.17, 8,213.50 and 1,778.42

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Solution

The fourth proportional to 5,476.17, 8,213.50 and 1,778.42 is: 2,667.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,476.17 : 8,213.50 = 1,778.42 : x
  2. Step 2: Convert to fraction form
    5,476.17/8,213.50 = 1,778.42/x
  3. Step 3: Cross multiply
    5,476.17x = 8,213.50 × 1,778.42
  4. Step 4: Simplify right side
    5,476.17x = 14,607,075.43
  5. Step 5: Solve for x
    x = 14,607,075.43/5,476.17
  6. Step 6: Final answer
    x = 2,667.39

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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.