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Finding the Fourth Proportional to 3,877.17, 5,815.67 and 955.50

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Solution

The fourth proportional to 3,877.17, 5,815.67 and 955.50 is: 1,433.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,877.17 : 5,815.67 = 955.50 : x
  2. Step 2: Convert to fraction form
    3,877.17/5,815.67 = 955.50/x
  3. Step 3: Cross multiply
    3,877.17x = 5,815.67 × 955.50
  4. Step 4: Simplify right side
    3,877.17x = 5,556,846.10
  5. Step 5: Solve for x
    x = 5,556,846.10/3,877.17
  6. Step 6: Final answer
    x = 1,433.22

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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.