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Finding the Fourth Proportional to 5,222.88, 7,207.52 and 3,232.88

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Solution

The fourth proportional to 5,222.88, 7,207.52 and 3,232.88 is: 4,461.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,222.88 : 7,207.52 = 3,232.88 : x
  2. Step 2: Convert to fraction form
    5,222.88/7,207.52 = 3,232.88/x
  3. Step 3: Cross multiply
    5,222.88x = 7,207.52 × 3,232.88
  4. Step 4: Simplify right side
    5,222.88x = 23,301,047.26
  5. Step 5: Solve for x
    x = 23,301,047.26/5,222.88
  6. Step 6: Final answer
    x = 4,461.34

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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.