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Finding the Fourth Proportional to 6,148.67, 8,470.33 and 4,889.32

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Solution

The fourth proportional to 6,148.67, 8,470.33 and 4,889.32 is: 6,735.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,148.67 : 8,470.33 = 4,889.32 : x
  2. Step 2: Convert to fraction form
    6,148.67/8,470.33 = 4,889.32/x
  3. Step 3: Cross multiply
    6,148.67x = 8,470.33 × 4,889.32
  4. Step 4: Simplify right side
    6,148.67x = 41,414,153.88
  5. Step 5: Solve for x
    x = 41,414,153.88/6,148.67
  6. Step 6: Final answer
    x = 6,735.47

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