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Finding the Fourth Proportional to 5,823.69, 8,735.93 and 5,138.43

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Solution

The fourth proportional to 5,823.69, 8,735.93 and 5,138.43 is: 7,707.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,823.69 : 8,735.93 = 5,138.43 : x
  2. Step 2: Convert to fraction form
    5,823.69/8,735.93 = 5,138.43/x
  3. Step 3: Cross multiply
    5,823.69x = 8,735.93 × 5,138.43
  4. Step 4: Simplify right side
    5,823.69x = 44,888,964.79
  5. Step 5: Solve for x
    x = 44,888,964.79/5,823.69
  6. Step 6: Final answer
    x = 7,707.99

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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.