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Finding the Fourth Proportional to 6,494.34, 8,958 and 4,100.08

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Solution

The fourth proportional to 6,494.34, 8,958 and 4,100.08 is: 5,655.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,494.34 : 8,958 = 4,100.08 : x
  2. Step 2: Convert to fraction form
    6,494.34/8,958 = 4,100.08/x
  3. Step 3: Cross multiply
    6,494.34x = 8,958 × 4,100.08
  4. Step 4: Simplify right side
    6,494.34x = 36,728,516.64
  5. Step 5: Solve for x
    x = 36,728,516.64/6,494.34
  6. Step 6: Final answer
    x = 5,655.47

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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.