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Finding the Fourth Proportional to 3,563.38, 4,917.14 and 2,071.28

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Solution

The fourth proportional to 3,563.38, 4,917.14 and 2,071.28 is: 2,858.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,563.38 : 4,917.14 = 2,071.28 : x
  2. Step 2: Convert to fraction form
    3,563.38/4,917.14 = 2,071.28/x
  3. Step 3: Cross multiply
    3,563.38x = 4,917.14 × 2,071.28
  4. Step 4: Simplify right side
    3,563.38x = 10,184,773.74
  5. Step 5: Solve for x
    x = 10,184,773.74/3,563.38
  6. Step 6: Final answer
    x = 2,858.18

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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.