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Finding the Fourth Proportional to 3,649.25, 5,470.62 and 1,340.21

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Solution

The fourth proportional to 3,649.25, 5,470.62 and 1,340.21 is: 2,009.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,649.25 : 5,470.62 = 1,340.21 : x
  2. Step 2: Convert to fraction form
    3,649.25/5,470.62 = 1,340.21/x
  3. Step 3: Cross multiply
    3,649.25x = 5,470.62 × 1,340.21
  4. Step 4: Simplify right side
    3,649.25x = 7,331,752.28
  5. Step 5: Solve for x
    x = 7,331,752.28/3,649.25
  6. Step 6: Final answer
    x = 2,009.11

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.