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Finding the Fourth Proportional to 5,345, 8,017.44 and 1,449.68

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Solution

The fourth proportional to 5,345, 8,017.44 and 1,449.68 is: 2,174.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,345 : 8,017.44 = 1,449.68 : x
  2. Step 2: Convert to fraction form
    5,345/8,017.44 = 1,449.68/x
  3. Step 3: Cross multiply
    5,345x = 8,017.44 × 1,449.68
  4. Step 4: Simplify right side
    5,345x = 11,622,722.42
  5. Step 5: Solve for x
    x = 11,622,722.42/5,345
  6. Step 6: Final answer
    x = 2,174.50

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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.