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Finding the Fourth Proportional to 4,659.58, 6,978.84 and 2,462.86

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Solution

The fourth proportional to 4,659.58, 6,978.84 and 2,462.86 is: 3,688.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,659.58 : 6,978.84 = 2,462.86 : x
  2. Step 2: Convert to fraction form
    4,659.58/6,978.84 = 2,462.86/x
  3. Step 3: Cross multiply
    4,659.58x = 6,978.84 × 2,462.86
  4. Step 4: Simplify right side
    4,659.58x = 17,187,905.88
  5. Step 5: Solve for x
    x = 17,187,905.88/4,659.58
  6. Step 6: Final answer
    x = 3,688.72

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.