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Finding the Fourth Proportional to 4,633.57, 6,953.12 and 4,256.70

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Solution

The fourth proportional to 4,633.57, 6,953.12 and 4,256.70 is: 6,387.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,633.57 : 6,953.12 = 4,256.70 : x
  2. Step 2: Convert to fraction form
    4,633.57/6,953.12 = 4,256.70/x
  3. Step 3: Cross multiply
    4,633.57x = 6,953.12 × 4,256.70
  4. Step 4: Simplify right side
    4,633.57x = 29,597,324.62
  5. Step 5: Solve for x
    x = 29,597,324.62/4,633.57
  6. Step 6: Final answer
    x = 6,387.59

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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.