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Finding the Fourth Proportional to 6,389.54, 9,583.28 and 3,271.86

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Solution

The fourth proportional to 6,389.54, 9,583.28 and 3,271.86 is: 4,907.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,389.54 : 9,583.28 = 3,271.86 : x
  2. Step 2: Convert to fraction form
    6,389.54/9,583.28 = 3,271.86/x
  3. Step 3: Cross multiply
    6,389.54x = 9,583.28 × 3,271.86
  4. Step 4: Simplify right side
    6,389.54x = 31,355,150.50
  5. Step 5: Solve for x
    x = 31,355,150.50/6,389.54
  6. Step 6: Final answer
    x = 4,907.26

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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.