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Finding the Fourth Proportional to 5,924.95, 8,175.36 and 3,406.52

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Solution

The fourth proportional to 5,924.95, 8,175.36 and 3,406.52 is: 4,700.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,924.95 : 8,175.36 = 3,406.52 : x
  2. Step 2: Convert to fraction form
    5,924.95/8,175.36 = 3,406.52/x
  3. Step 3: Cross multiply
    5,924.95x = 8,175.36 × 3,406.52
  4. Step 4: Simplify right side
    5,924.95x = 27,849,560.56
  5. Step 5: Solve for x
    x = 27,849,560.56/5,924.95
  6. Step 6: Final answer
    x = 4,700.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.