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Finding the Fourth Proportional to 4,659.56, 6,984.04 and 2,434.96

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Solution

The fourth proportional to 4,659.56, 6,984.04 and 2,434.96 is: 3,649.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,659.56 : 6,984.04 = 2,434.96 : x
  2. Step 2: Convert to fraction form
    4,659.56/6,984.04 = 2,434.96/x
  3. Step 3: Cross multiply
    4,659.56x = 6,984.04 × 2,434.96
  4. Step 4: Simplify right side
    4,659.56x = 17,005,865.25
  5. Step 5: Solve for x
    x = 17,005,865.25/4,659.56
  6. Step 6: Final answer
    x = 3,649.67

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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.