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Finding the Fourth Proportional to 5,813.58, 8,714.16 and 4,228.50

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Solution

The fourth proportional to 5,813.58, 8,714.16 and 4,228.50 is: 6,338.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,813.58 : 8,714.16 = 4,228.50 : x
  2. Step 2: Convert to fraction form
    5,813.58/8,714.16 = 4,228.50/x
  3. Step 3: Cross multiply
    5,813.58x = 8,714.16 × 4,228.50
  4. Step 4: Simplify right side
    5,813.58x = 36,847,825.56
  5. Step 5: Solve for x
    x = 36,847,825.56/5,813.58
  6. Step 6: Final answer
    x = 6,338.23

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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.