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Finding the Fourth Proportional to 5,415.90, 7,470.11 and 3,524

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Solution

The fourth proportional to 5,415.90, 7,470.11 and 3,524 is: 4,860.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,415.90 : 7,470.11 = 3,524 : x
  2. Step 2: Convert to fraction form
    5,415.90/7,470.11 = 3,524/x
  3. Step 3: Cross multiply
    5,415.90x = 7,470.11 × 3,524
  4. Step 4: Simplify right side
    5,415.90x = 26,324,667.64
  5. Step 5: Solve for x
    x = 26,324,667.64/5,415.90
  6. Step 6: Final answer
    x = 4,860.63

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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.