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Finding the Fourth Proportional to 5,834.16, 8,047.20 and 3,845.28

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Solution

The fourth proportional to 5,834.16, 8,047.20 and 3,845.28 is: 5,303.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,834.16 : 8,047.20 = 3,845.28 : x
  2. Step 2: Convert to fraction form
    5,834.16/8,047.20 = 3,845.28/x
  3. Step 3: Cross multiply
    5,834.16x = 8,047.20 × 3,845.28
  4. Step 4: Simplify right side
    5,834.16x = 30,943,737.22
  5. Step 5: Solve for x
    x = 30,943,737.22/5,834.16
  6. Step 6: Final answer
    x = 5,303.89

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.