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Finding the Fourth Proportional to 5,414.98, 7,470.41 and 3,643.51

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Solution

The fourth proportional to 5,414.98, 7,470.41 and 3,643.51 is: 5,026.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,414.98 : 7,470.41 = 3,643.51 : x
  2. Step 2: Convert to fraction form
    5,414.98/7,470.41 = 3,643.51/x
  3. Step 3: Cross multiply
    5,414.98x = 7,470.41 × 3,643.51
  4. Step 4: Simplify right side
    5,414.98x = 27,218,513.54
  5. Step 5: Solve for x
    x = 27,218,513.54/5,414.98
  6. Step 6: Final answer
    x = 5,026.52

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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.