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Finding the Fourth Proportional to 4,774.73, 6,588.05 and 3,005.69

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Solution

The fourth proportional to 4,774.73, 6,588.05 and 3,005.69 is: 4,147.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,774.73 : 6,588.05 = 3,005.69 : x
  2. Step 2: Convert to fraction form
    4,774.73/6,588.05 = 3,005.69/x
  3. Step 3: Cross multiply
    4,774.73x = 6,588.05 × 3,005.69
  4. Step 4: Simplify right side
    4,774.73x = 19,801,588.04
  5. Step 5: Solve for x
    x = 19,801,588.04/4,774.73
  6. Step 6: Final answer
    x = 4,147.17

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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.