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Finding the Fourth Proportional to 6,208.34, 8,564.67 and 4,324.55

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Solution

The fourth proportional to 6,208.34, 8,564.67 and 4,324.55 is: 5,965.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,208.34 : 8,564.67 = 4,324.55 : x
  2. Step 2: Convert to fraction form
    6,208.34/8,564.67 = 4,324.55/x
  3. Step 3: Cross multiply
    6,208.34x = 8,564.67 × 4,324.55
  4. Step 4: Simplify right side
    6,208.34x = 37,038,300.83
  5. Step 5: Solve for x
    x = 37,038,300.83/6,208.34
  6. Step 6: Final answer
    x = 5,965.90

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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.