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Finding the Fourth Proportional to 5,842.36, 8,768.04 and 2,146.99

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Solution

The fourth proportional to 5,842.36, 8,768.04 and 2,146.99 is: 3,222.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,842.36 : 8,768.04 = 2,146.99 : x
  2. Step 2: Convert to fraction form
    5,842.36/8,768.04 = 2,146.99/x
  3. Step 3: Cross multiply
    5,842.36x = 8,768.04 × 2,146.99
  4. Step 4: Simplify right side
    5,842.36x = 18,824,894.20
  5. Step 5: Solve for x
    x = 18,824,894.20/5,842.36
  6. Step 6: Final answer
    x = 3,222.14

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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.