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Finding the Fourth Proportional to 5,824.31, 8,037.54 and 3,434.31

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Solution

The fourth proportional to 5,824.31, 8,037.54 and 3,434.31 is: 4,739.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,824.31 : 8,037.54 = 3,434.31 : x
  2. Step 2: Convert to fraction form
    5,824.31/8,037.54 = 3,434.31/x
  3. Step 3: Cross multiply
    5,824.31x = 8,037.54 × 3,434.31
  4. Step 4: Simplify right side
    5,824.31x = 27,603,404.00
  5. Step 5: Solve for x
    x = 27,603,404.00/5,824.31
  6. Step 6: Final answer
    x = 4,739.35

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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.