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Finding the Fourth Proportional to 4,703.44, 7,062.78 and 3,880

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Solution

The fourth proportional to 4,703.44, 7,062.78 and 3,880 is: 5,826.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,703.44 : 7,062.78 = 3,880 : x
  2. Step 2: Convert to fraction form
    4,703.44/7,062.78 = 3,880/x
  3. Step 3: Cross multiply
    4,703.44x = 7,062.78 × 3,880
  4. Step 4: Simplify right side
    4,703.44x = 27,403,586.40
  5. Step 5: Solve for x
    x = 27,403,586.40/4,703.44
  6. Step 6: Final answer
    x = 5,826.29

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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.