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Finding the Fourth Proportional to 4,769.83, 6,584.12 and 3,588.85

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Solution

The fourth proportional to 4,769.83, 6,584.12 and 3,588.85 is: 4,953.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,769.83 : 6,584.12 = 3,588.85 : x
  2. Step 2: Convert to fraction form
    4,769.83/6,584.12 = 3,588.85/x
  3. Step 3: Cross multiply
    4,769.83x = 6,584.12 × 3,588.85
  4. Step 4: Simplify right side
    4,769.83x = 23,629,419.06
  5. Step 5: Solve for x
    x = 23,629,419.06/4,769.83
  6. Step 6: Final answer
    x = 4,953.93

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.