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Finding the Fourth Proportional to 6,296.32, 8,684.04 and 4,058.56

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Solution

The fourth proportional to 6,296.32, 8,684.04 and 4,058.56 is: 5,597.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,296.32 : 8,684.04 = 4,058.56 : x
  2. Step 2: Convert to fraction form
    6,296.32/8,684.04 = 4,058.56/x
  3. Step 3: Cross multiply
    6,296.32x = 8,684.04 × 4,058.56
  4. Step 4: Simplify right side
    6,296.32x = 35,244,697.38
  5. Step 5: Solve for x
    x = 35,244,697.38/6,296.32
  6. Step 6: Final answer
    x = 5,597.67

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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.