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Finding the Fourth Proportional to 5,410.98, 7,467.03 and 3,053.16

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Solution

The fourth proportional to 5,410.98, 7,467.03 and 3,053.16 is: 4,213.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,410.98 : 7,467.03 = 3,053.16 : x
  2. Step 2: Convert to fraction form
    5,410.98/7,467.03 = 3,053.16/x
  3. Step 3: Cross multiply
    5,410.98x = 7,467.03 × 3,053.16
  4. Step 4: Simplify right side
    5,410.98x = 22,798,037.31
  5. Step 5: Solve for x
    x = 22,798,037.31/5,410.98
  6. Step 6: Final answer
    x = 4,213.29

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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.