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Finding the Fourth Proportional to 3,908.34, 5,862.44 and 986.64

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Solution

The fourth proportional to 3,908.34, 5,862.44 and 986.64 is: 1,479.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,908.34 : 5,862.44 = 986.64 : x
  2. Step 2: Convert to fraction form
    3,908.34/5,862.44 = 986.64/x
  3. Step 3: Cross multiply
    3,908.34x = 5,862.44 × 986.64
  4. Step 4: Simplify right side
    3,908.34x = 5,784,117.80
  5. Step 5: Solve for x
    x = 5,784,117.80/3,908.34
  6. Step 6: Final answer
    x = 1,479.94

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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.