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Finding the Fourth Proportional to 3,656.53, 5,485.60 and 1,707.67

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Solution

The fourth proportional to 3,656.53, 5,485.60 and 1,707.67 is: 2,561.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,656.53 : 5,485.60 = 1,707.67 : x
  2. Step 2: Convert to fraction form
    3,656.53/5,485.60 = 1,707.67/x
  3. Step 3: Cross multiply
    3,656.53x = 5,485.60 × 1,707.67
  4. Step 4: Simplify right side
    3,656.53x = 9,367,558.59
  5. Step 5: Solve for x
    x = 9,367,558.59/3,656.53
  6. Step 6: Final answer
    x = 2,561.87

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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.