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Finding the Fourth Proportional to 3,657.27, 5,486.72 and 1,708.41

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Solution

The fourth proportional to 3,657.27, 5,486.72 and 1,708.41 is: 2,563.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,657.27 : 5,486.72 = 1,708.41 : x
  2. Step 2: Convert to fraction form
    3,657.27/5,486.72 = 1,708.41/x
  3. Step 3: Cross multiply
    3,657.27x = 5,486.72 × 1,708.41
  4. Step 4: Simplify right side
    3,657.27x = 9,373,567.32
  5. Step 5: Solve for x
    x = 9,373,567.32/3,657.27
  6. Step 6: Final answer
    x = 2,563.00

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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.