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Finding the Fourth Proportional to 4,825.95, 7,239.77 and 1,705.71

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Solution

The fourth proportional to 4,825.95, 7,239.77 and 1,705.71 is: 2,558.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,825.95 : 7,239.77 = 1,705.71 : x
  2. Step 2: Convert to fraction form
    4,825.95/7,239.77 = 1,705.71/x
  3. Step 3: Cross multiply
    4,825.95x = 7,239.77 × 1,705.71
  4. Step 4: Simplify right side
    4,825.95x = 12,348,939.56
  5. Step 5: Solve for x
    x = 12,348,939.56/4,825.95
  6. Step 6: Final answer
    x = 2,558.86

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.