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Finding the Fourth Proportional to 6,047.09, 8,346.72 and 3,657.06

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Solution

The fourth proportional to 6,047.09, 8,346.72 and 3,657.06 is: 5,047.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,047.09 : 8,346.72 = 3,657.06 : x
  2. Step 2: Convert to fraction form
    6,047.09/8,346.72 = 3,657.06/x
  3. Step 3: Cross multiply
    6,047.09x = 8,346.72 × 3,657.06
  4. Step 4: Simplify right side
    6,047.09x = 30,524,476.71
  5. Step 5: Solve for x
    x = 30,524,476.71/6,047.09
  6. Step 6: Final answer
    x = 5,047.80

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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.