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Finding the Fourth Proportional to 3,416.22, 5,124.24 and 951.06

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Solution

The fourth proportional to 3,416.22, 5,124.24 and 951.06 is: 1,426.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,416.22 : 5,124.24 = 951.06 : x
  2. Step 2: Convert to fraction form
    3,416.22/5,124.24 = 951.06/x
  3. Step 3: Cross multiply
    3,416.22x = 5,124.24 × 951.06
  4. Step 4: Simplify right side
    3,416.22x = 4,873,459.69
  5. Step 5: Solve for x
    x = 4,873,459.69/3,416.22
  6. Step 6: Final answer
    x = 1,426.56

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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.