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Finding the Fourth Proportional to 3,364.90, 4,646.51 and 2,108.12

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Solution

The fourth proportional to 3,364.90, 4,646.51 and 2,108.12 is: 2,911.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,364.90 : 4,646.51 = 2,108.12 : x
  2. Step 2: Convert to fraction form
    3,364.90/4,646.51 = 2,108.12/x
  3. Step 3: Cross multiply
    3,364.90x = 4,646.51 × 2,108.12
  4. Step 4: Simplify right side
    3,364.90x = 9,795,392.85
  5. Step 5: Solve for x
    x = 9,795,392.85/3,364.90
  6. Step 6: Final answer
    x = 2,911.05

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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.