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Finding the Fourth Proportional to 2,906.48, 4,359.26 and 2,416.04

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Solution

The fourth proportional to 2,906.48, 4,359.26 and 2,416.04 is: 3,623.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,906.48 : 4,359.26 = 2,416.04 : x
  2. Step 2: Convert to fraction form
    2,906.48/4,359.26 = 2,416.04/x
  3. Step 3: Cross multiply
    2,906.48x = 4,359.26 × 2,416.04
  4. Step 4: Simplify right side
    2,906.48x = 10,532,146.53
  5. Step 5: Solve for x
    x = 10,532,146.53/2,906.48
  6. Step 6: Final answer
    x = 3,623.68

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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.