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Finding the Fourth Proportional to 3,667.48, 5,499.86 and 1,475.46

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Solution

The fourth proportional to 3,667.48, 5,499.86 and 1,475.46 is: 2,212.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,667.48 : 5,499.86 = 1,475.46 : x
  2. Step 2: Convert to fraction form
    3,667.48/5,499.86 = 1,475.46/x
  3. Step 3: Cross multiply
    3,667.48x = 5,499.86 × 1,475.46
  4. Step 4: Simplify right side
    3,667.48x = 8,114,823.44
  5. Step 5: Solve for x
    x = 8,114,823.44/3,667.48
  6. Step 6: Final answer
    x = 2,212.64

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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.