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Finding the Fourth Proportional to 4,667.60, 7,003.84 and 2,072.32

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Solution

The fourth proportional to 4,667.60, 7,003.84 and 2,072.32 is: 3,109.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,667.60 : 7,003.84 = 2,072.32 : x
  2. Step 2: Convert to fraction form
    4,667.60/7,003.84 = 2,072.32/x
  3. Step 3: Cross multiply
    4,667.60x = 7,003.84 × 2,072.32
  4. Step 4: Simplify right side
    4,667.60x = 14,514,197.71
  5. Step 5: Solve for x
    x = 14,514,197.71/4,667.60
  6. Step 6: Final answer
    x = 3,109.56

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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.