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Finding the Fourth Proportional to 3,877.44, 5,816.07 and 955.68

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Solution

The fourth proportional to 3,877.44, 5,816.07 and 955.68 is: 1,433.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,877.44 : 5,816.07 = 955.68 : x
  2. Step 2: Convert to fraction form
    3,877.44/5,816.07 = 955.68/x
  3. Step 3: Cross multiply
    3,877.44x = 5,816.07 × 955.68
  4. Step 4: Simplify right side
    3,877.44x = 5,558,301.78
  5. Step 5: Solve for x
    x = 5,558,301.78/3,877.44
  6. Step 6: Final answer
    x = 1,433.50

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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.