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Finding the Fourth Proportional to 5,825.76, 8,039.76 and 3,437.37

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Solution

The fourth proportional to 5,825.76, 8,039.76 and 3,437.37 is: 4,743.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,825.76 : 8,039.76 = 3,437.37 : x
  2. Step 2: Convert to fraction form
    5,825.76/8,039.76 = 3,437.37/x
  3. Step 3: Cross multiply
    5,825.76x = 8,039.76 × 3,437.37
  4. Step 4: Simplify right side
    5,825.76x = 27,635,616.94
  5. Step 5: Solve for x
    x = 27,635,616.94/5,825.76
  6. Step 6: Final answer
    x = 4,743.70

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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.