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Finding the Fourth Proportional to 5,643.09, 7,786.50 and 3,519.29

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Solution

The fourth proportional to 5,643.09, 7,786.50 and 3,519.29 is: 4,856.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,643.09 : 7,786.50 = 3,519.29 : x
  2. Step 2: Convert to fraction form
    5,643.09/7,786.50 = 3,519.29/x
  3. Step 3: Cross multiply
    5,643.09x = 7,786.50 × 3,519.29
  4. Step 4: Simplify right side
    5,643.09x = 27,402,895.06
  5. Step 5: Solve for x
    x = 27,402,895.06/5,643.09
  6. Step 6: Final answer
    x = 4,856.01

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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.