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Finding the Fourth Proportional to 3,698.54, 5,534.84 and 2,871.54

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Solution

The fourth proportional to 3,698.54, 5,534.84 and 2,871.54 is: 4,297.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,698.54 : 5,534.84 = 2,871.54 : x
  2. Step 2: Convert to fraction form
    3,698.54/5,534.84 = 2,871.54/x
  3. Step 3: Cross multiply
    3,698.54x = 5,534.84 × 2,871.54
  4. Step 4: Simplify right side
    3,698.54x = 15,893,514.45
  5. Step 5: Solve for x
    x = 15,893,514.45/3,698.54
  6. Step 6: Final answer
    x = 4,297.24

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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.