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Finding the Fourth Proportional to 4,147.06, 5,723.01 and 2,284.06

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Solution

The fourth proportional to 4,147.06, 5,723.01 and 2,284.06 is: 3,152.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,147.06 : 5,723.01 = 2,284.06 : x
  2. Step 2: Convert to fraction form
    4,147.06/5,723.01 = 2,284.06/x
  3. Step 3: Cross multiply
    4,147.06x = 5,723.01 × 2,284.06
  4. Step 4: Simplify right side
    4,147.06x = 13,071,698.22
  5. Step 5: Solve for x
    x = 13,071,698.22/4,147.06
  6. Step 6: Final answer
    x = 3,152.04

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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.