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Finding the Fourth Proportional to 6,935.40, 10,404.45 and 2,005.20

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Solution

The fourth proportional to 6,935.40, 10,404.45 and 2,005.20 is: 3,008.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,935.40 : 10,404.45 = 2,005.20 : x
  2. Step 2: Convert to fraction form
    6,935.40/10,404.45 = 2,005.20/x
  3. Step 3: Cross multiply
    6,935.40x = 10,404.45 × 2,005.20
  4. Step 4: Simplify right side
    6,935.40x = 20,863,003.14
  5. Step 5: Solve for x
    x = 20,863,003.14/6,935.40
  6. Step 6: Final answer
    x = 3,008.19

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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.