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Finding the Fourth Proportional to 4,649.50, 6,409.50 and 3,808.87

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Solution

The fourth proportional to 4,649.50, 6,409.50 and 3,808.87 is: 5,250.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,649.50 : 6,409.50 = 3,808.87 : x
  2. Step 2: Convert to fraction form
    4,649.50/6,409.50 = 3,808.87/x
  3. Step 3: Cross multiply
    4,649.50x = 6,409.50 × 3,808.87
  4. Step 4: Simplify right side
    4,649.50x = 24,412,990.15
  5. Step 5: Solve for x
    x = 24,412,990.15/4,649.50
  6. Step 6: Final answer
    x = 5,250.67

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.