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Finding the Fourth Proportional to 5,989.23, 8,253.74 and 4,307.67

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Solution

The fourth proportional to 5,989.23, 8,253.74 and 4,307.67 is: 5,936.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,989.23 : 8,253.74 = 4,307.67 : x
  2. Step 2: Convert to fraction form
    5,989.23/8,253.74 = 4,307.67/x
  3. Step 3: Cross multiply
    5,989.23x = 8,253.74 × 4,307.67
  4. Step 4: Simplify right side
    5,989.23x = 35,554,366.65
  5. Step 5: Solve for x
    x = 35,554,366.65/5,989.23
  6. Step 6: Final answer
    x = 5,936.38

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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.