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Finding the Fourth Proportional to 8,490.40, 12,736.24 and 2,944

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Solution

The fourth proportional to 8,490.40, 12,736.24 and 2,944 is: 4,416.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,490.40 : 12,736.24 = 2,944 : x
  2. Step 2: Convert to fraction form
    8,490.40/12,736.24 = 2,944/x
  3. Step 3: Cross multiply
    8,490.40x = 12,736.24 × 2,944
  4. Step 4: Simplify right side
    8,490.40x = 37,495,490.56
  5. Step 5: Solve for x
    x = 37,495,490.56/8,490.40
  6. Step 6: Final answer
    x = 4,416.22

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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.