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Finding the Fourth Proportional to 4,667.75, 7,001.44 and 1,157.77

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Solution

The fourth proportional to 4,667.75, 7,001.44 and 1,157.77 is: 1,736.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,667.75 : 7,001.44 = 1,157.77 : x
  2. Step 2: Convert to fraction form
    4,667.75/7,001.44 = 1,157.77/x
  3. Step 3: Cross multiply
    4,667.75x = 7,001.44 × 1,157.77
  4. Step 4: Simplify right side
    4,667.75x = 8,106,043.35
  5. Step 5: Solve for x
    x = 8,106,043.35/4,667.75
  6. Step 6: Final answer
    x = 1,736.61

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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.