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Finding the Fourth Proportional to 3,655.89, 5,485.29 and 1,806.96

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Solution

The fourth proportional to 3,655.89, 5,485.29 and 1,806.96 is: 2,711.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,655.89 : 5,485.29 = 1,806.96 : x
  2. Step 2: Convert to fraction form
    3,655.89/5,485.29 = 1,806.96/x
  3. Step 3: Cross multiply
    3,655.89x = 5,485.29 × 1,806.96
  4. Step 4: Simplify right side
    3,655.89x = 9,911,699.62
  5. Step 5: Solve for x
    x = 9,911,699.62/3,655.89
  6. Step 6: Final answer
    x = 2,711.16

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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.