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Finding the Fourth Proportional to 5,113.64, 7,054.62 and 3,223.73

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Solution

The fourth proportional to 5,113.64, 7,054.62 and 3,223.73 is: 4,447.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,113.64 : 7,054.62 = 3,223.73 : x
  2. Step 2: Convert to fraction form
    5,113.64/7,054.62 = 3,223.73/x
  3. Step 3: Cross multiply
    5,113.64x = 7,054.62 × 3,223.73
  4. Step 4: Simplify right side
    5,113.64x = 22,742,190.13
  5. Step 5: Solve for x
    x = 22,742,190.13/5,113.64
  6. Step 6: Final answer
    x = 4,447.36

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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.