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Finding the Fourth Proportional to 3,655.41, 5,483.11 and 1,462.60

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Solution

The fourth proportional to 3,655.41, 5,483.11 and 1,462.60 is: 2,193.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,655.41 : 5,483.11 = 1,462.60 : x
  2. Step 2: Convert to fraction form
    3,655.41/5,483.11 = 1,462.60/x
  3. Step 3: Cross multiply
    3,655.41x = 5,483.11 × 1,462.60
  4. Step 4: Simplify right side
    3,655.41x = 8,019,596.69
  5. Step 5: Solve for x
    x = 8,019,596.69/3,655.41
  6. Step 6: Final answer
    x = 2,193.90

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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.