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Finding the Fourth Proportional to 6,970.82, 10,455.42 and 2,588.36

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Solution

The fourth proportional to 6,970.82, 10,455.42 and 2,588.36 is: 3,882.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,970.82 : 10,455.42 = 2,588.36 : x
  2. Step 2: Convert to fraction form
    6,970.82/10,455.42 = 2,588.36/x
  3. Step 3: Cross multiply
    6,970.82x = 10,455.42 × 2,588.36
  4. Step 4: Simplify right side
    6,970.82x = 27,062,390.91
  5. Step 5: Solve for x
    x = 27,062,390.91/6,970.82
  6. Step 6: Final answer
    x = 3,882.24

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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.