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Finding the Fourth Proportional to 4,914.64, 7,377.09 and 4,333.42

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Solution

The fourth proportional to 4,914.64, 7,377.09 and 4,333.42 is: 6,504.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,914.64 : 7,377.09 = 4,333.42 : x
  2. Step 2: Convert to fraction form
    4,914.64/7,377.09 = 4,333.42/x
  3. Step 3: Cross multiply
    4,914.64x = 7,377.09 × 4,333.42
  4. Step 4: Simplify right side
    4,914.64x = 31,968,029.35
  5. Step 5: Solve for x
    x = 31,968,029.35/4,914.64
  6. Step 6: Final answer
    x = 6,504.65

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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.