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Finding the Fourth Proportional to 3,406.14, 4,698.09 and 2,564.19

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Solution

The fourth proportional to 3,406.14, 4,698.09 and 2,564.19 is: 3,536.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,406.14 : 4,698.09 = 2,564.19 : x
  2. Step 2: Convert to fraction form
    3,406.14/4,698.09 = 2,564.19/x
  3. Step 3: Cross multiply
    3,406.14x = 4,698.09 × 2,564.19
  4. Step 4: Simplify right side
    3,406.14x = 12,046,795.40
  5. Step 5: Solve for x
    x = 12,046,795.40/3,406.14
  6. Step 6: Final answer
    x = 3,536.79

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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.