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Finding the Fourth Proportional to 3,531.98, 5,297.37 and 935.18

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Solution

The fourth proportional to 3,531.98, 5,297.37 and 935.18 is: 1,402.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,531.98 : 5,297.37 = 935.18 : x
  2. Step 2: Convert to fraction form
    3,531.98/5,297.37 = 935.18/x
  3. Step 3: Cross multiply
    3,531.98x = 5,297.37 × 935.18
  4. Step 4: Simplify right side
    3,531.98x = 4,953,994.48
  5. Step 5: Solve for x
    x = 4,953,994.48/3,531.98
  6. Step 6: Final answer
    x = 1,402.61

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1.5x scale

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.