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Finding the Fourth Proportional to 6,404.56, 8,839.50 and 3,610.06

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Solution

The fourth proportional to 6,404.56, 8,839.50 and 3,610.06 is: 4,982.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,404.56 : 8,839.50 = 3,610.06 : x
  2. Step 2: Convert to fraction form
    6,404.56/8,839.50 = 3,610.06/x
  3. Step 3: Cross multiply
    6,404.56x = 8,839.50 × 3,610.06
  4. Step 4: Simplify right side
    6,404.56x = 31,911,125.37
  5. Step 5: Solve for x
    x = 31,911,125.37/6,404.56
  6. Step 6: Final answer
    x = 4,982.56

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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.