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Finding the Fourth Proportional to 3,447.68, 4,758.84 and 3,271.32

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Solution

The fourth proportional to 3,447.68, 4,758.84 and 3,271.32 is: 4,515.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,447.68 : 4,758.84 = 3,271.32 : x
  2. Step 2: Convert to fraction form
    3,447.68/4,758.84 = 3,271.32/x
  3. Step 3: Cross multiply
    3,447.68x = 4,758.84 × 3,271.32
  4. Step 4: Simplify right side
    3,447.68x = 15,567,688.47
  5. Step 5: Solve for x
    x = 15,567,688.47/3,447.68
  6. Step 6: Final answer
    x = 4,515.42

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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.