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Finding the Fourth Proportional to 4,203.80, 5,798.66 and 2,611

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Solution

The fourth proportional to 4,203.80, 5,798.66 and 2,611 is: 3,601.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,203.80 : 5,798.66 = 2,611 : x
  2. Step 2: Convert to fraction form
    4,203.80/5,798.66 = 2,611/x
  3. Step 3: Cross multiply
    4,203.80x = 5,798.66 × 2,611
  4. Step 4: Simplify right side
    4,203.80x = 15,140,301.26
  5. Step 5: Solve for x
    x = 15,140,301.26/4,203.80
  6. Step 6: Final answer
    x = 3,601.58

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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.