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Finding the Fourth Proportional to 3,586.96, 5,378.48 and 2,416.96

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Solution

The fourth proportional to 3,586.96, 5,378.48 and 2,416.96 is: 3,624.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,586.96 : 5,378.48 = 2,416.96 : x
  2. Step 2: Convert to fraction form
    3,586.96/5,378.48 = 2,416.96/x
  3. Step 3: Cross multiply
    3,586.96x = 5,378.48 × 2,416.96
  4. Step 4: Simplify right side
    3,586.96x = 12,999,571.02
  5. Step 5: Solve for x
    x = 12,999,571.02/3,586.96
  6. Step 6: Final answer
    x = 3,624.12

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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.