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Finding the Fourth Proportional to 5,986.98, 8,270.10 and 5,428.08

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Solution

The fourth proportional to 5,986.98, 8,270.10 and 5,428.08 is: 7,498.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,986.98 : 8,270.10 = 5,428.08 : x
  2. Step 2: Convert to fraction form
    5,986.98/8,270.10 = 5,428.08/x
  3. Step 3: Cross multiply
    5,986.98x = 8,270.10 × 5,428.08
  4. Step 4: Simplify right side
    5,986.98x = 44,890,764.41
  5. Step 5: Solve for x
    x = 44,890,764.41/5,986.98
  6. Step 6: Final answer
    x = 7,498.06

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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.