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Finding the Fourth Proportional to 3,667.60, 5,497.44 and 1,358.92

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Solution

The fourth proportional to 3,667.60, 5,497.44 and 1,358.92 is: 2,036.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,667.60 : 5,497.44 = 1,358.92 : x
  2. Step 2: Convert to fraction form
    3,667.60/5,497.44 = 1,358.92/x
  3. Step 3: Cross multiply
    3,667.60x = 5,497.44 × 1,358.92
  4. Step 4: Simplify right side
    3,667.60x = 7,470,581.16
  5. Step 5: Solve for x
    x = 7,470,581.16/3,667.60
  6. Step 6: Final answer
    x = 2,036.91

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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.