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Finding the Fourth Proportional to 5,705.71, 8,557.36 and 1,600.75

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Solution

The fourth proportional to 5,705.71, 8,557.36 and 1,600.75 is: 2,400.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,705.71 : 8,557.36 = 1,600.75 : x
  2. Step 2: Convert to fraction form
    5,705.71/8,557.36 = 1,600.75/x
  3. Step 3: Cross multiply
    5,705.71x = 8,557.36 × 1,600.75
  4. Step 4: Simplify right side
    5,705.71x = 13,698,194.02
  5. Step 5: Solve for x
    x = 13,698,194.02/5,705.71
  6. Step 6: Final answer
    x = 2,400.79

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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.