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Finding the Fourth Proportional to 4,659.70, 6,994.17 and 4,136.02

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Solution

The fourth proportional to 4,659.70, 6,994.17 and 4,136.02 is: 6,208.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,659.70 : 6,994.17 = 4,136.02 : x
  2. Step 2: Convert to fraction form
    4,659.70/6,994.17 = 4,136.02/x
  3. Step 3: Cross multiply
    4,659.70x = 6,994.17 × 4,136.02
  4. Step 4: Simplify right side
    4,659.70x = 28,928,027.00
  5. Step 5: Solve for x
    x = 28,928,027.00/4,659.70
  6. Step 6: Final answer
    x = 6,208.13

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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.