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Finding the Fourth Proportional to 3,746.46, 5,626.41 and 2,594.46

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Solution

The fourth proportional to 3,746.46, 5,626.41 and 2,594.46 is: 3,896.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,746.46 : 5,626.41 = 2,594.46 : x
  2. Step 2: Convert to fraction form
    3,746.46/5,626.41 = 2,594.46/x
  3. Step 3: Cross multiply
    3,746.46x = 5,626.41 × 2,594.46
  4. Step 4: Simplify right side
    3,746.46x = 14,597,495.69
  5. Step 5: Solve for x
    x = 14,597,495.69/3,746.46
  6. Step 6: Final answer
    x = 3,896.34

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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.