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Finding the Fourth Proportional to 4,834.64, 6,685.23 and 3,838.19

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Solution

The fourth proportional to 4,834.64, 6,685.23 and 3,838.19 is: 5,307.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,834.64 : 6,685.23 = 3,838.19 : x
  2. Step 2: Convert to fraction form
    4,834.64/6,685.23 = 3,838.19/x
  3. Step 3: Cross multiply
    4,834.64x = 6,685.23 × 3,838.19
  4. Step 4: Simplify right side
    4,834.64x = 25,659,182.93
  5. Step 5: Solve for x
    x = 25,659,182.93/4,834.64
  6. Step 6: Final answer
    x = 5,307.36

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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.