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Finding the Fourth Proportional to 5,232, 7,223.80 and 3,662.22

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Solution

The fourth proportional to 5,232, 7,223.80 and 3,662.22 is: 5,056.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,232 : 7,223.80 = 3,662.22 : x
  2. Step 2: Convert to fraction form
    5,232/7,223.80 = 3,662.22/x
  3. Step 3: Cross multiply
    5,232x = 7,223.80 × 3,662.22
  4. Step 4: Simplify right side
    5,232x = 26,455,144.84
  5. Step 5: Solve for x
    x = 26,455,144.84/5,232
  6. Step 6: Final answer
    x = 5,056.41

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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.