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Finding the Fourth Proportional to 5,296.42, 7,944.54 and 1,833.58

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Solution

The fourth proportional to 5,296.42, 7,944.54 and 1,833.58 is: 2,750.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,296.42 : 7,944.54 = 1,833.58 : x
  2. Step 2: Convert to fraction form
    5,296.42/7,944.54 = 1,833.58/x
  3. Step 3: Cross multiply
    5,296.42x = 7,944.54 × 1,833.58
  4. Step 4: Simplify right side
    5,296.42x = 14,566,949.65
  5. Step 5: Solve for x
    x = 14,566,949.65/5,296.42
  6. Step 6: Final answer
    x = 2,750.34

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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.