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Finding the Fourth Proportional to 3,583.71, 5,375.84 and 986.63

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Solution

The fourth proportional to 3,583.71, 5,375.84 and 986.63 is: 1,480.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,583.71 : 5,375.84 = 986.63 : x
  2. Step 2: Convert to fraction form
    3,583.71/5,375.84 = 986.63/x
  3. Step 3: Cross multiply
    3,583.71x = 5,375.84 × 986.63
  4. Step 4: Simplify right side
    3,583.71x = 5,303,933.21
  5. Step 5: Solve for x
    x = 5,303,933.21/3,583.71
  6. Step 6: Final answer
    x = 1,480.01

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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.