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Finding the Fourth Proportional to 4,858.31, 6,704.99 and 2,971.00

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Solution

The fourth proportional to 4,858.31, 6,704.99 and 2,971.00 is: 4,100.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,858.31 : 6,704.99 = 2,971.00 : x
  2. Step 2: Convert to fraction form
    4,858.31/6,704.99 = 2,971.00/x
  3. Step 3: Cross multiply
    4,858.31x = 6,704.99 × 2,971.00
  4. Step 4: Simplify right side
    4,858.31x = 19,920,476.91
  5. Step 5: Solve for x
    x = 19,920,476.91/4,858.31
  6. Step 6: Final answer
    x = 4,100.29

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.