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Finding the Fourth Proportional to 5,726.88, 7,903.38 and 3,208.84

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Solution

The fourth proportional to 5,726.88, 7,903.38 and 3,208.84 is: 4,428.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,726.88 : 7,903.38 = 3,208.84 : x
  2. Step 2: Convert to fraction form
    5,726.88/7,903.38 = 3,208.84/x
  3. Step 3: Cross multiply
    5,726.88x = 7,903.38 × 3,208.84
  4. Step 4: Simplify right side
    5,726.88x = 25,360,681.88
  5. Step 5: Solve for x
    x = 25,360,681.88/5,726.88
  6. Step 6: Final answer
    x = 4,428.36

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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.