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Finding the Fourth Proportional to 3,655.49, 5,475.94 and 2,779.47

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Solution

The fourth proportional to 3,655.49, 5,475.94 and 2,779.47 is: 4,163.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,655.49 : 5,475.94 = 2,779.47 : x
  2. Step 2: Convert to fraction form
    3,655.49/5,475.94 = 2,779.47/x
  3. Step 3: Cross multiply
    3,655.49x = 5,475.94 × 2,779.47
  4. Step 4: Simplify right side
    3,655.49x = 15,220,204.00
  5. Step 5: Solve for x
    x = 15,220,204.00/3,655.49
  6. Step 6: Final answer
    x = 4,163.66

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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.