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Finding the Fourth Proportional to 6,437.56, 8,884.18 and 3,643

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Solution

The fourth proportional to 6,437.56, 8,884.18 and 3,643 is: 5,027.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,437.56 : 8,884.18 = 3,643 : x
  2. Step 2: Convert to fraction form
    6,437.56/8,884.18 = 3,643/x
  3. Step 3: Cross multiply
    6,437.56x = 8,884.18 × 3,643
  4. Step 4: Simplify right side
    6,437.56x = 32,365,067.74
  5. Step 5: Solve for x
    x = 32,365,067.74/6,437.56
  6. Step 6: Final answer
    x = 5,027.54

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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.