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Finding the Fourth Proportional to 3,583.24, 5,374.78 and 986.20

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Solution

The fourth proportional to 3,583.24, 5,374.78 and 986.20 is: 1,479.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,583.24 : 5,374.78 = 986.20 : x
  2. Step 2: Convert to fraction form
    3,583.24/5,374.78 = 986.20/x
  3. Step 3: Cross multiply
    3,583.24x = 5,374.78 × 986.20
  4. Step 4: Simplify right side
    3,583.24x = 5,300,608.04
  5. Step 5: Solve for x
    x = 5,300,608.04/3,583.24
  6. Step 6: Final answer
    x = 1,479.28

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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.