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Finding the Fourth Proportional to 3,563.12, 4,917.12 and 2,071.91

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Solution

The fourth proportional to 3,563.12, 4,917.12 and 2,071.91 is: 2,859.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,563.12 : 4,917.12 = 2,071.91 : x
  2. Step 2: Convert to fraction form
    3,563.12/4,917.12 = 2,071.91/x
  3. Step 3: Cross multiply
    3,563.12x = 4,917.12 × 2,071.91
  4. Step 4: Simplify right side
    3,563.12x = 10,187,830.10
  5. Step 5: Solve for x
    x = 10,187,830.10/3,563.12
  6. Step 6: Final answer
    x = 2,859.24

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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.