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Finding the Fourth Proportional to 5,296.96, 7,945.80 and 1,833.04

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Solution

The fourth proportional to 5,296.96, 7,945.80 and 1,833.04 is: 2,749.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,296.96 : 7,945.80 = 1,833.04 : x
  2. Step 2: Convert to fraction form
    5,296.96/7,945.80 = 1,833.04/x
  3. Step 3: Cross multiply
    5,296.96x = 7,945.80 × 1,833.04
  4. Step 4: Simplify right side
    5,296.96x = 14,564,969.23
  5. Step 5: Solve for x
    x = 14,564,969.23/5,296.96
  6. Step 6: Final answer
    x = 2,749.68

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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.