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Finding the Fourth Proportional to 6,409.61, 8,842.89 and 3,756.05

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Solution

The fourth proportional to 6,409.61, 8,842.89 and 3,756.05 is: 5,181.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,409.61 : 8,842.89 = 3,756.05 : x
  2. Step 2: Convert to fraction form
    6,409.61/8,842.89 = 3,756.05/x
  3. Step 3: Cross multiply
    6,409.61x = 8,842.89 × 3,756.05
  4. Step 4: Simplify right side
    6,409.61x = 33,214,273.99
  5. Step 5: Solve for x
    x = 33,214,273.99/6,409.61
  6. Step 6: Final answer
    x = 5,181.95

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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.