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Finding the Fourth Proportional to 4,564.24, 6,842.08 and 1,640.96

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Solution

The fourth proportional to 4,564.24, 6,842.08 and 1,640.96 is: 2,459.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,564.24 : 6,842.08 = 1,640.96 : x
  2. Step 2: Convert to fraction form
    4,564.24/6,842.08 = 1,640.96/x
  3. Step 3: Cross multiply
    4,564.24x = 6,842.08 × 1,640.96
  4. Step 4: Simplify right side
    4,564.24x = 11,227,579.60
  5. Step 5: Solve for x
    x = 11,227,579.60/4,564.24
  6. Step 6: Final answer
    x = 2,459.90

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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.