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Finding the Fourth Proportional to 5,586.54, 7,708.56 and 3,228.22

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Solution

The fourth proportional to 5,586.54, 7,708.56 and 3,228.22 is: 4,454.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,586.54 : 7,708.56 = 3,228.22 : x
  2. Step 2: Convert to fraction form
    5,586.54/7,708.56 = 3,228.22/x
  3. Step 3: Cross multiply
    5,586.54x = 7,708.56 × 3,228.22
  4. Step 4: Simplify right side
    5,586.54x = 24,884,927.56
  5. Step 5: Solve for x
    x = 24,884,927.56/5,586.54
  6. Step 6: Final answer
    x = 4,454.45

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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.