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Finding the Fourth Proportional to 3,610.88, 5,416.31 and 874.88

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Solution

The fourth proportional to 3,610.88, 5,416.31 and 874.88 is: 1,312.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,610.88 : 5,416.31 = 874.88 : x
  2. Step 2: Convert to fraction form
    3,610.88/5,416.31 = 874.88/x
  3. Step 3: Cross multiply
    3,610.88x = 5,416.31 × 874.88
  4. Step 4: Simplify right side
    3,610.88x = 4,738,596.40
  5. Step 5: Solve for x
    x = 4,738,596.40/3,610.88
  6. Step 6: Final answer
    x = 1,312.31

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1.5x scale

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.