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Finding the Fourth Proportional to 5,726.55, 7,902.57 and 3,208.68

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Solution

The fourth proportional to 5,726.55, 7,902.57 and 3,208.68 is: 4,427.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,726.55 : 7,902.57 = 3,208.68 : x
  2. Step 2: Convert to fraction form
    5,726.55/7,902.57 = 3,208.68/x
  3. Step 3: Cross multiply
    5,726.55x = 7,902.57 × 3,208.68
  4. Step 4: Simplify right side
    5,726.55x = 25,356,818.31
  5. Step 5: Solve for x
    x = 25,356,818.31/5,726.55
  6. Step 6: Final answer
    x = 4,427.94

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.