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Finding the Fourth Proportional to 4,703.19, 7,054.82 and 3,824.67

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Solution

The fourth proportional to 4,703.19, 7,054.82 and 3,824.67 is: 5,737.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,703.19 : 7,054.82 = 3,824.67 : x
  2. Step 2: Convert to fraction form
    4,703.19/7,054.82 = 3,824.67/x
  3. Step 3: Cross multiply
    4,703.19x = 7,054.82 × 3,824.67
  4. Step 4: Simplify right side
    4,703.19x = 26,982,351.16
  5. Step 5: Solve for x
    x = 26,982,351.16/4,703.19
  6. Step 6: Final answer
    x = 5,737.03

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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.