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Finding the Fourth Proportional to 6,412.09, 8,848.71 and 3,759.54

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Solution

The fourth proportional to 6,412.09, 8,848.71 and 3,759.54 is: 5,188.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,412.09 : 8,848.71 = 3,759.54 : x
  2. Step 2: Convert to fraction form
    6,412.09/8,848.71 = 3,759.54/x
  3. Step 3: Cross multiply
    6,412.09x = 8,848.71 × 3,759.54
  4. Step 4: Simplify right side
    6,412.09x = 33,267,071.17
  5. Step 5: Solve for x
    x = 33,267,071.17/6,412.09
  6. Step 6: Final answer
    x = 5,188.18

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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.