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Finding the Fourth Proportional to 6,448.14, 8,897.99 and 3,615.98

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Solution

The fourth proportional to 6,448.14, 8,897.99 and 3,615.98 is: 4,989.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,448.14 : 8,897.99 = 3,615.98 : x
  2. Step 2: Convert to fraction form
    6,448.14/8,897.99 = 3,615.98/x
  3. Step 3: Cross multiply
    6,448.14x = 8,897.99 × 3,615.98
  4. Step 4: Simplify right side
    6,448.14x = 32,174,891.31
  5. Step 5: Solve for x
    x = 32,174,891.31/6,448.14
  6. Step 6: Final answer
    x = 4,989.79

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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.