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Finding the Fourth Proportional to 3,667.74, 5,501.64 and 1,202.82

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Solution

The fourth proportional to 3,667.74, 5,501.64 and 1,202.82 is: 1,804.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,667.74 : 5,501.64 = 1,202.82 : x
  2. Step 2: Convert to fraction form
    3,667.74/5,501.64 = 1,202.82/x
  3. Step 3: Cross multiply
    3,667.74x = 5,501.64 × 1,202.82
  4. Step 4: Simplify right side
    3,667.74x = 6,617,482.62
  5. Step 5: Solve for x
    x = 6,617,482.62/3,667.74
  6. Step 6: Final answer
    x = 1,804.24

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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.