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Finding the Fourth Proportional to 3,364.60, 4,645.44 and 2,106.17

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Solution

The fourth proportional to 3,364.60, 4,645.44 and 2,106.17 is: 2,907.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,364.60 : 4,645.44 = 2,106.17 : x
  2. Step 2: Convert to fraction form
    3,364.60/4,645.44 = 2,106.17/x
  3. Step 3: Cross multiply
    3,364.60x = 4,645.44 × 2,106.17
  4. Step 4: Simplify right side
    3,364.60x = 9,784,052.61
  5. Step 5: Solve for x
    x = 9,784,052.61/3,364.60
  6. Step 6: Final answer
    x = 2,907.94

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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.