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Finding the Fourth Proportional to 3,415.96, 4,709.67 and 2,295.11

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Solution

The fourth proportional to 3,415.96, 4,709.67 and 2,295.11 is: 3,164.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,415.96 : 4,709.67 = 2,295.11 : x
  2. Step 2: Convert to fraction form
    3,415.96/4,709.67 = 2,295.11/x
  3. Step 3: Cross multiply
    3,415.96x = 4,709.67 × 2,295.11
  4. Step 4: Simplify right side
    3,415.96x = 10,809,210.71
  5. Step 5: Solve for x
    x = 10,809,210.71/3,415.96
  6. Step 6: Final answer
    x = 3,164.33

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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.