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Finding the Fourth Proportional to 8,490.54, 12,735.96 and 2,944.06

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Solution

The fourth proportional to 8,490.54, 12,735.96 and 2,944.06 is: 4,416.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,490.54 : 12,735.96 = 2,944.06 : x
  2. Step 2: Convert to fraction form
    8,490.54/12,735.96 = 2,944.06/x
  3. Step 3: Cross multiply
    8,490.54x = 12,735.96 × 2,944.06
  4. Step 4: Simplify right side
    8,490.54x = 37,495,430.40
  5. Step 5: Solve for x
    x = 37,495,430.40/8,490.54
  6. Step 6: Final answer
    x = 4,416.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.