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Finding the Fourth Proportional to 5,660.56, 8,478.54 and 3,462.64

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Solution

The fourth proportional to 5,660.56, 8,478.54 and 3,462.64 is: 5,186.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,660.56 : 8,478.54 = 3,462.64 : x
  2. Step 2: Convert to fraction form
    5,660.56/8,478.54 = 3,462.64/x
  3. Step 3: Cross multiply
    5,660.56x = 8,478.54 × 3,462.64
  4. Step 4: Simplify right side
    5,660.56x = 29,358,131.75
  5. Step 5: Solve for x
    x = 29,358,131.75/5,660.56
  6. Step 6: Final answer
    x = 5,186.44

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.