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Finding the Fourth Proportional to 6,436.56, 8,882.80 and 3,642

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Solution

The fourth proportional to 6,436.56, 8,882.80 and 3,642 is: 5,026.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,436.56 : 8,882.80 = 3,642 : x
  2. Step 2: Convert to fraction form
    6,436.56/8,882.80 = 3,642/x
  3. Step 3: Cross multiply
    6,436.56x = 8,882.80 × 3,642
  4. Step 4: Simplify right side
    6,436.56x = 32,351,157.60
  5. Step 5: Solve for x
    x = 32,351,157.60/6,436.56
  6. Step 6: Final answer
    x = 5,026.16

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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.