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Finding the Fourth Proportional to 5,802.51, 8,007.24 and 3,149.85

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Solution

The fourth proportional to 5,802.51, 8,007.24 and 3,149.85 is: 4,346.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,802.51 : 8,007.24 = 3,149.85 : x
  2. Step 2: Convert to fraction form
    5,802.51/8,007.24 = 3,149.85/x
  3. Step 3: Cross multiply
    5,802.51x = 8,007.24 × 3,149.85
  4. Step 4: Simplify right side
    5,802.51x = 25,221,604.91
  5. Step 5: Solve for x
    x = 25,221,604.91/5,802.51
  6. Step 6: Final answer
    x = 4,346.67

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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.