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Finding the Fourth Proportional to 6,409.56, 8,845.50 and 3,615

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Solution

The fourth proportional to 6,409.56, 8,845.50 and 3,615 is: 4,988.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,409.56 : 8,845.50 = 3,615 : x
  2. Step 2: Convert to fraction form
    6,409.56/8,845.50 = 3,615/x
  3. Step 3: Cross multiply
    6,409.56x = 8,845.50 × 3,615
  4. Step 4: Simplify right side
    6,409.56x = 31,976,482.50
  5. Step 5: Solve for x
    x = 31,976,482.50/6,409.56
  6. Step 6: Final answer
    x = 4,988.87

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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.