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Finding the Fourth Proportional to 3,415.64, 4,711.12 and 2,409.41

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Solution

The fourth proportional to 3,415.64, 4,711.12 and 2,409.41 is: 3,323.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,415.64 : 4,711.12 = 2,409.41 : x
  2. Step 2: Convert to fraction form
    3,415.64/4,711.12 = 2,409.41/x
  3. Step 3: Cross multiply
    3,415.64x = 4,711.12 × 2,409.41
  4. Step 4: Simplify right side
    3,415.64x = 11,351,025.39
  5. Step 5: Solve for x
    x = 11,351,025.39/3,415.64
  6. Step 6: Final answer
    x = 3,323.25

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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.