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Finding the Fourth Proportional to 3,671.69, 5,068.31 and 2,180.34

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Solution

The fourth proportional to 3,671.69, 5,068.31 and 2,180.34 is: 3,009.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,671.69 : 5,068.31 = 2,180.34 : x
  2. Step 2: Convert to fraction form
    3,671.69/5,068.31 = 2,180.34/x
  3. Step 3: Cross multiply
    3,671.69x = 5,068.31 × 2,180.34
  4. Step 4: Simplify right side
    3,671.69x = 11,050,628.12
  5. Step 5: Solve for x
    x = 11,050,628.12/3,671.69
  6. Step 6: Final answer
    x = 3,009.69

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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.