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Finding the Fourth Proportional to 4,734.64, 7,097.91 and 2,886.22

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Solution

The fourth proportional to 4,734.64, 7,097.91 and 2,886.22 is: 4,326.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,734.64 : 7,097.91 = 2,886.22 : x
  2. Step 2: Convert to fraction form
    4,734.64/7,097.91 = 2,886.22/x
  3. Step 3: Cross multiply
    4,734.64x = 7,097.91 × 2,886.22
  4. Step 4: Simplify right side
    4,734.64x = 20,486,129.80
  5. Step 5: Solve for x
    x = 20,486,129.80/4,734.64
  6. Step 6: Final answer
    x = 4,326.86

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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.