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Finding the Fourth Proportional to 3,643.50, 5,027.85 and 2,071.50

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Solution

The fourth proportional to 3,643.50, 5,027.85 and 2,071.50 is: 2,858.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,643.50 : 5,027.85 = 2,071.50 : x
  2. Step 2: Convert to fraction form
    3,643.50/5,027.85 = 2,071.50/x
  3. Step 3: Cross multiply
    3,643.50x = 5,027.85 × 2,071.50
  4. Step 4: Simplify right side
    3,643.50x = 10,415,191.28
  5. Step 5: Solve for x
    x = 10,415,191.28/3,643.50
  6. Step 6: Final answer
    x = 2,858.57

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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.