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Finding the Fourth Proportional to 3,583.33, 5,374.38 and 985.66

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Solution

The fourth proportional to 3,583.33, 5,374.38 and 985.66 is: 1,478.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,583.33 : 5,374.38 = 985.66 : x
  2. Step 2: Convert to fraction form
    3,583.33/5,374.38 = 985.66/x
  3. Step 3: Cross multiply
    3,583.33x = 5,374.38 × 985.66
  4. Step 4: Simplify right side
    3,583.33x = 5,297,311.39
  5. Step 5: Solve for x
    x = 5,297,311.39/3,583.33
  6. Step 6: Final answer
    x = 1,478.32

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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.