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Finding the Fourth Proportional to 3,745.57, 5,168.74 and 2,066.94

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Solution

The fourth proportional to 3,745.57, 5,168.74 and 2,066.94 is: 2,852.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,745.57 : 5,168.74 = 2,066.94 : x
  2. Step 2: Convert to fraction form
    3,745.57/5,168.74 = 2,066.94/x
  3. Step 3: Cross multiply
    3,745.57x = 5,168.74 × 2,066.94
  4. Step 4: Simplify right side
    3,745.57x = 10,683,482.89
  5. Step 5: Solve for x
    x = 10,683,482.89/3,745.57
  6. Step 6: Final answer
    x = 2,852.30

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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.