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Finding the Fourth Proportional to 5,410.88, 7,466.76 and 3,053.24

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Solution

The fourth proportional to 5,410.88, 7,466.76 and 3,053.24 is: 4,213.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,410.88 : 7,466.76 = 3,053.24 : x
  2. Step 2: Convert to fraction form
    5,410.88/7,466.76 = 3,053.24/x
  3. Step 3: Cross multiply
    5,410.88x = 7,466.76 × 3,053.24
  4. Step 4: Simplify right side
    5,410.88x = 22,797,810.30
  5. Step 5: Solve for x
    x = 22,797,810.30/5,410.88
  6. Step 6: Final answer
    x = 4,213.33

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.