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Finding the Fourth Proportional to 3,317.14, 4,975.14 and 1,095.28

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Solution

The fourth proportional to 3,317.14, 4,975.14 and 1,095.28 is: 1,642.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,317.14 : 4,975.14 = 1,095.28 : x
  2. Step 2: Convert to fraction form
    3,317.14/4,975.14 = 1,095.28/x
  3. Step 3: Cross multiply
    3,317.14x = 4,975.14 × 1,095.28
  4. Step 4: Simplify right side
    3,317.14x = 5,449,171.34
  5. Step 5: Solve for x
    x = 5,449,171.34/3,317.14
  6. Step 6: Final answer
    x = 1,642.73

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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.