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Finding the Fourth Proportional to 4,235.58, 5,847.96 and 2,644.65

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Solution

The fourth proportional to 4,235.58, 5,847.96 and 2,644.65 is: 3,651.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,235.58 : 5,847.96 = 2,644.65 : x
  2. Step 2: Convert to fraction form
    4,235.58/5,847.96 = 2,644.65/x
  3. Step 3: Cross multiply
    4,235.58x = 5,847.96 × 2,644.65
  4. Step 4: Simplify right side
    4,235.58x = 15,465,807.41
  5. Step 5: Solve for x
    x = 15,465,807.41/4,235.58
  6. Step 6: Final answer
    x = 3,651.40

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Why These Related Problems?

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