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Finding the Fourth Proportional to 4,234.96, 5,844.08 and 2,346.72

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Solution

The fourth proportional to 4,234.96, 5,844.08 and 2,346.72 is: 3,238.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,234.96 : 5,844.08 = 2,346.72 : x
  2. Step 2: Convert to fraction form
    4,234.96/5,844.08 = 2,346.72/x
  3. Step 3: Cross multiply
    4,234.96x = 5,844.08 × 2,346.72
  4. Step 4: Simplify right side
    4,234.96x = 13,714,419.42
  5. Step 5: Solve for x
    x = 13,714,419.42/4,234.96
  6. Step 6: Final answer
    x = 3,238.38

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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.