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Finding the Fourth Proportional to 5,459.89, 7,534.80 and 3,221.56

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Solution

The fourth proportional to 5,459.89, 7,534.80 and 3,221.56 is: 4,445.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,459.89 : 7,534.80 = 3,221.56 : x
  2. Step 2: Convert to fraction form
    5,459.89/7,534.80 = 3,221.56/x
  3. Step 3: Cross multiply
    5,459.89x = 7,534.80 × 3,221.56
  4. Step 4: Simplify right side
    5,459.89x = 24,273,810.29
  5. Step 5: Solve for x
    x = 24,273,810.29/5,459.89
  6. Step 6: Final answer
    x = 4,445.84

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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.