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Finding the Fourth Proportional to 3,506.44, 5,259.75 and 1,658.42

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Solution

The fourth proportional to 3,506.44, 5,259.75 and 1,658.42 is: 2,487.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,506.44 : 5,259.75 = 1,658.42 : x
  2. Step 2: Convert to fraction form
    3,506.44/5,259.75 = 1,658.42/x
  3. Step 3: Cross multiply
    3,506.44x = 5,259.75 × 1,658.42
  4. Step 4: Simplify right side
    3,506.44x = 8,722,874.60
  5. Step 5: Solve for x
    x = 8,722,874.60/3,506.44
  6. Step 6: Final answer
    x = 2,487.67

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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.