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Finding the Fourth Proportional to 4,774.44, 6,586.20 and 3,593.46

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Solution

The fourth proportional to 4,774.44, 6,586.20 and 3,593.46 is: 4,957.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,774.44 : 6,586.20 = 3,593.46 : x
  2. Step 2: Convert to fraction form
    4,774.44/6,586.20 = 3,593.46/x
  3. Step 3: Cross multiply
    4,774.44x = 6,586.20 × 3,593.46
  4. Step 4: Simplify right side
    4,774.44x = 23,667,246.25
  5. Step 5: Solve for x
    x = 23,667,246.25/4,774.44
  6. Step 6: Final answer
    x = 4,957.07

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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.