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Finding the Fourth Proportional to 4,114.76, 6,172.12 and 1,036.76

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Solution

The fourth proportional to 4,114.76, 6,172.12 and 1,036.76 is: 1,555.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,114.76 : 6,172.12 = 1,036.76 : x
  2. Step 2: Convert to fraction form
    4,114.76/6,172.12 = 1,036.76/x
  3. Step 3: Cross multiply
    4,114.76x = 6,172.12 × 1,036.76
  4. Step 4: Simplify right side
    4,114.76x = 6,399,007.13
  5. Step 5: Solve for x
    x = 6,399,007.13/4,114.76
  6. Step 6: Final answer
    x = 1,555.13

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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.