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Finding the Fourth Proportional to 4,678.54, 7,022.06 and 2,489.10

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Solution

The fourth proportional to 4,678.54, 7,022.06 and 2,489.10 is: 3,735.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,678.54 : 7,022.06 = 2,489.10 : x
  2. Step 2: Convert to fraction form
    4,678.54/7,022.06 = 2,489.10/x
  3. Step 3: Cross multiply
    4,678.54x = 7,022.06 × 2,489.10
  4. Step 4: Simplify right side
    4,678.54x = 17,478,609.55
  5. Step 5: Solve for x
    x = 17,478,609.55/4,678.54
  6. Step 6: Final answer
    x = 3,735.91

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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.