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Finding the Fourth Proportional to 5,858, 8,074.20 and 4,441.24

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Solution

The fourth proportional to 5,858, 8,074.20 and 4,441.24 is: 6,121.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,858 : 8,074.20 = 4,441.24 : x
  2. Step 2: Convert to fraction form
    5,858/8,074.20 = 4,441.24/x
  3. Step 3: Cross multiply
    5,858x = 8,074.20 × 4,441.24
  4. Step 4: Simplify right side
    5,858x = 35,859,460.01
  5. Step 5: Solve for x
    x = 35,859,460.01/5,858
  6. Step 6: Final answer
    x = 6,121.45

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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.