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Finding the Fourth Proportional to 4,659.28, 6,984.60 and 2,317.84

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Solution

The fourth proportional to 4,659.28, 6,984.60 and 2,317.84 is: 3,474.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,659.28 : 6,984.60 = 2,317.84 : x
  2. Step 2: Convert to fraction form
    4,659.28/6,984.60 = 2,317.84/x
  3. Step 3: Cross multiply
    4,659.28x = 6,984.60 × 2,317.84
  4. Step 4: Simplify right side
    4,659.28x = 16,189,185.26
  5. Step 5: Solve for x
    x = 16,189,185.26/4,659.28
  6. Step 6: Final answer
    x = 3,474.61

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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.