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Finding the Fourth Proportional to 5,462.79, 7,538.58 and 3,224.76

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Solution

The fourth proportional to 5,462.79, 7,538.58 and 3,224.76 is: 4,450.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,462.79 : 7,538.58 = 3,224.76 : x
  2. Step 2: Convert to fraction form
    5,462.79/7,538.58 = 3,224.76/x
  3. Step 3: Cross multiply
    5,462.79x = 7,538.58 × 3,224.76
  4. Step 4: Simplify right side
    5,462.79x = 24,310,111.24
  5. Step 5: Solve for x
    x = 24,310,111.24/5,462.79
  6. Step 6: Final answer
    x = 4,450.13

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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.