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Finding the Fourth Proportional to 3,531.56, 5,297.64 and 934.50

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Solution

The fourth proportional to 3,531.56, 5,297.64 and 934.50 is: 1,401.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,531.56 : 5,297.64 = 934.50 : x
  2. Step 2: Convert to fraction form
    3,531.56/5,297.64 = 934.50/x
  3. Step 3: Cross multiply
    3,531.56x = 5,297.64 × 934.50
  4. Step 4: Simplify right side
    3,531.56x = 4,950,644.58
  5. Step 5: Solve for x
    x = 4,950,644.58/3,531.56
  6. Step 6: Final answer
    x = 1,401.83

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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.