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Finding the Fourth Proportional to 5,296.88, 7,945.32 and 1,834.13

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Solution

The fourth proportional to 5,296.88, 7,945.32 and 1,834.13 is: 2,751.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,296.88 : 7,945.32 = 1,834.13 : x
  2. Step 2: Convert to fraction form
    5,296.88/7,945.32 = 1,834.13/x
  3. Step 3: Cross multiply
    5,296.88x = 7,945.32 × 1,834.13
  4. Step 4: Simplify right side
    5,296.88x = 14,572,710.05
  5. Step 5: Solve for x
    x = 14,572,710.05/5,296.88
  6. Step 6: Final answer
    x = 2,751.19

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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.