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Finding the Fourth Proportional to 3,375.58, 4,656 and 3,096.76

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Solution

The fourth proportional to 3,375.58, 4,656 and 3,096.76 is: 4,271.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,375.58 : 4,656 = 3,096.76 : x
  2. Step 2: Convert to fraction form
    3,375.58/4,656 = 3,096.76/x
  3. Step 3: Cross multiply
    3,375.58x = 4,656 × 3,096.76
  4. Step 4: Simplify right side
    3,375.58x = 14,418,514.56
  5. Step 5: Solve for x
    x = 14,418,514.56/3,375.58
  6. Step 6: Final answer
    x = 4,271.42

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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.