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Finding the Fourth Proportional to 4,953.36, 6,834.42 and 3,540.72

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Solution

The fourth proportional to 4,953.36, 6,834.42 and 3,540.72 is: 4,885.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,953.36 : 6,834.42 = 3,540.72 : x
  2. Step 2: Convert to fraction form
    4,953.36/6,834.42 = 3,540.72/x
  3. Step 3: Cross multiply
    4,953.36x = 6,834.42 × 3,540.72
  4. Step 4: Simplify right side
    4,953.36x = 24,198,767.58
  5. Step 5: Solve for x
    x = 24,198,767.58/4,953.36
  6. Step 6: Final answer
    x = 4,885.32

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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.