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Finding the Fourth Proportional to 4,288.56, 6,436.40 and 4,256.16

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Solution

The fourth proportional to 4,288.56, 6,436.40 and 4,256.16 is: 6,387.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,288.56 : 6,436.40 = 4,256.16 : x
  2. Step 2: Convert to fraction form
    4,288.56/6,436.40 = 4,256.16/x
  3. Step 3: Cross multiply
    4,288.56x = 6,436.40 × 4,256.16
  4. Step 4: Simplify right side
    4,288.56x = 27,394,348.22
  5. Step 5: Solve for x
    x = 27,394,348.22/4,288.56
  6. Step 6: Final answer
    x = 6,387.77

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.