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Finding the Fourth Proportional to 5,746.42, 8,620.26 and 4,576.42

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Solution

The fourth proportional to 5,746.42, 8,620.26 and 4,576.42 is: 6,865.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,746.42 : 8,620.26 = 4,576.42 : x
  2. Step 2: Convert to fraction form
    5,746.42/8,620.26 = 4,576.42/x
  3. Step 3: Cross multiply
    5,746.42x = 8,620.26 × 4,576.42
  4. Step 4: Simplify right side
    5,746.42x = 39,449,930.27
  5. Step 5: Solve for x
    x = 39,449,930.27/5,746.42
  6. Step 6: Final answer
    x = 6,865.13

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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.