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Finding the Fourth Proportional to 6,451.70, 8,896.24 and 4,209.35

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Solution

The fourth proportional to 6,451.70, 8,896.24 and 4,209.35 is: 5,804.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,451.70 : 8,896.24 = 4,209.35 : x
  2. Step 2: Convert to fraction form
    6,451.70/8,896.24 = 4,209.35/x
  3. Step 3: Cross multiply
    6,451.70x = 8,896.24 × 4,209.35
  4. Step 4: Simplify right side
    6,451.70x = 37,447,387.84
  5. Step 5: Solve for x
    x = 37,447,387.84/6,451.70
  6. Step 6: Final answer
    x = 5,804.27

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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.