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Finding the Fourth Proportional to 3,596.59, 5,396.91 and 1,648.95

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Solution

The fourth proportional to 3,596.59, 5,396.91 and 1,648.95 is: 2,474.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,596.59 : 5,396.91 = 1,648.95 : x
  2. Step 2: Convert to fraction form
    3,596.59/5,396.91 = 1,648.95/x
  3. Step 3: Cross multiply
    3,596.59x = 5,396.91 × 1,648.95
  4. Step 4: Simplify right side
    3,596.59x = 8,899,234.74
  5. Step 5: Solve for x
    x = 8,899,234.74/3,596.59
  6. Step 6: Final answer
    x = 2,474.35

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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.