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Finding the Fourth Proportional to 5,365.22, 8,048.91 and 1,902.74

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Solution

The fourth proportional to 5,365.22, 8,048.91 and 1,902.74 is: 2,854.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,365.22 : 8,048.91 = 1,902.74 : x
  2. Step 2: Convert to fraction form
    5,365.22/8,048.91 = 1,902.74/x
  3. Step 3: Cross multiply
    5,365.22x = 8,048.91 × 1,902.74
  4. Step 4: Simplify right side
    5,365.22x = 15,314,983.01
  5. Step 5: Solve for x
    x = 15,314,983.01/5,365.22
  6. Step 6: Final answer
    x = 2,854.49

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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.