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Finding the Fourth Proportional to 3,583.66, 5,375.06 and 986.26

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Solution

The fourth proportional to 3,583.66, 5,375.06 and 986.26 is: 1,479.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,583.66 : 5,375.06 = 986.26 : x
  2. Step 2: Convert to fraction form
    3,583.66/5,375.06 = 986.26/x
  3. Step 3: Cross multiply
    3,583.66x = 5,375.06 × 986.26
  4. Step 4: Simplify right side
    3,583.66x = 5,301,206.68
  5. Step 5: Solve for x
    x = 5,301,206.68/3,583.66
  6. Step 6: Final answer
    x = 1,479.27

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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.