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Finding the Fourth Proportional to 5,802.09, 8,007.05 and 3,149.67

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Solution

The fourth proportional to 5,802.09, 8,007.05 and 3,149.67 is: 4,346.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,802.09 : 8,007.05 = 3,149.67 : x
  2. Step 2: Convert to fraction form
    5,802.09/8,007.05 = 3,149.67/x
  3. Step 3: Cross multiply
    5,802.09x = 8,007.05 × 3,149.67
  4. Step 4: Simplify right side
    5,802.09x = 25,219,540.32
  5. Step 5: Solve for x
    x = 25,219,540.32/5,802.09
  6. Step 6: Final answer
    x = 4,346.63

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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.