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Finding the Fourth Proportional to 3,762.83, 5,197.07 and 3,544.13

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Solution

The fourth proportional to 3,762.83, 5,197.07 and 3,544.13 is: 4,895.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,762.83 : 5,197.07 = 3,544.13 : x
  2. Step 2: Convert to fraction form
    3,762.83/5,197.07 = 3,544.13/x
  3. Step 3: Cross multiply
    3,762.83x = 5,197.07 × 3,544.13
  4. Step 4: Simplify right side
    3,762.83x = 18,419,074.57
  5. Step 5: Solve for x
    x = 18,419,074.57/3,762.83
  6. Step 6: Final answer
    x = 4,895.01

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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.