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Finding the Fourth Proportional to 6,952.08, 9,596.32 and 4,157.58

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Solution

The fourth proportional to 6,952.08, 9,596.32 and 4,157.58 is: 5,738.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,952.08 : 9,596.32 = 4,157.58 : x
  2. Step 2: Convert to fraction form
    6,952.08/9,596.32 = 4,157.58/x
  3. Step 3: Cross multiply
    6,952.08x = 9,596.32 × 4,157.58
  4. Step 4: Simplify right side
    6,952.08x = 39,897,463.10
  5. Step 5: Solve for x
    x = 39,897,463.10/6,952.08
  6. Step 6: Final answer
    x = 5,738.93

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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.