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Finding the Fourth Proportional to 5,296.64, 7,944.94 and 1,834.16

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Solution

The fourth proportional to 5,296.64, 7,944.94 and 1,834.16 is: 2,751.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,296.64 : 7,944.94 = 1,834.16 : x
  2. Step 2: Convert to fraction form
    5,296.64/7,944.94 = 1,834.16/x
  3. Step 3: Cross multiply
    5,296.64x = 7,944.94 × 1,834.16
  4. Step 4: Simplify right side
    5,296.64x = 14,572,291.15
  5. Step 5: Solve for x
    x = 14,572,291.15/5,296.64
  6. Step 6: Final answer
    x = 2,751.23

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.