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Finding the Fourth Proportional to 5,586.53, 7,709.27 and 3,068.58

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Solution

The fourth proportional to 5,586.53, 7,709.27 and 3,068.58 is: 4,234.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,586.53 : 7,709.27 = 3,068.58 : x
  2. Step 2: Convert to fraction form
    5,586.53/7,709.27 = 3,068.58/x
  3. Step 3: Cross multiply
    5,586.53x = 7,709.27 × 3,068.58
  4. Step 4: Simplify right side
    5,586.53x = 23,656,511.74
  5. Step 5: Solve for x
    x = 23,656,511.74/5,586.53
  6. Step 6: Final answer
    x = 4,234.56

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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.