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Finding the Fourth Proportional to 4,659.62, 6,984.20 and 2,029.32

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Solution

The fourth proportional to 4,659.62, 6,984.20 and 2,029.32 is: 3,041.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,659.62 : 6,984.20 = 2,029.32 : x
  2. Step 2: Convert to fraction form
    4,659.62/6,984.20 = 2,029.32/x
  3. Step 3: Cross multiply
    4,659.62x = 6,984.20 × 2,029.32
  4. Step 4: Simplify right side
    4,659.62x = 14,173,176.74
  5. Step 5: Solve for x
    x = 14,173,176.74/4,659.62
  6. Step 6: Final answer
    x = 3,041.70

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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.