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Finding the Fourth Proportional to 4,736.81, 7,108.46 and 1,658.81

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Solution

The fourth proportional to 4,736.81, 7,108.46 and 1,658.81 is: 2,489.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,736.81 : 7,108.46 = 1,658.81 : x
  2. Step 2: Convert to fraction form
    4,736.81/7,108.46 = 1,658.81/x
  3. Step 3: Cross multiply
    4,736.81x = 7,108.46 × 1,658.81
  4. Step 4: Simplify right side
    4,736.81x = 11,791,600.23
  5. Step 5: Solve for x
    x = 11,791,600.23/4,736.81
  6. Step 6: Final answer
    x = 2,489.35

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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.