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Finding the Fourth Proportional to 4,563.54, 6,842.88 and 3,586.68

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Solution

The fourth proportional to 4,563.54, 6,842.88 and 3,586.68 is: 5,378.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,563.54 : 6,842.88 = 3,586.68 : x
  2. Step 2: Convert to fraction form
    4,563.54/6,842.88 = 3,586.68/x
  3. Step 3: Cross multiply
    4,563.54x = 6,842.88 × 3,586.68
  4. Step 4: Simplify right side
    4,563.54x = 24,543,220.84
  5. Step 5: Solve for x
    x = 24,543,220.84/4,563.54
  6. Step 6: Final answer
    x = 5,378.11

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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.