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Finding the Fourth Proportional to 4,114.88, 6,172.31 and 1,036.88

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Solution

The fourth proportional to 4,114.88, 6,172.31 and 1,036.88 is: 1,555.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,114.88 : 6,172.31 = 1,036.88 : x
  2. Step 2: Convert to fraction form
    4,114.88/6,172.31 = 1,036.88/x
  3. Step 3: Cross multiply
    4,114.88x = 6,172.31 × 1,036.88
  4. Step 4: Simplify right side
    4,114.88x = 6,399,916.52
  5. Step 5: Solve for x
    x = 6,399,916.52/4,114.88
  6. Step 6: Final answer
    x = 1,555.31

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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.