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Finding the Fourth Proportional to 3,749.92, 5,623.98 and 1,409.26

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Solution

The fourth proportional to 3,749.92, 5,623.98 and 1,409.26 is: 2,113.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,749.92 : 5,623.98 = 1,409.26 : x
  2. Step 2: Convert to fraction form
    3,749.92/5,623.98 = 1,409.26/x
  3. Step 3: Cross multiply
    3,749.92x = 5,623.98 × 1,409.26
  4. Step 4: Simplify right side
    3,749.92x = 7,925,650.05
  5. Step 5: Solve for x
    x = 7,925,650.05/3,749.92
  6. Step 6: Final answer
    x = 2,113.55

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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.