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Finding the Fourth Proportional to 6,289.74, 8,680.23 and 3,495.24

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Solution

The fourth proportional to 6,289.74, 8,680.23 and 3,495.24 is: 4,823.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,289.74 : 8,680.23 = 3,495.24 : x
  2. Step 2: Convert to fraction form
    6,289.74/8,680.23 = 3,495.24/x
  3. Step 3: Cross multiply
    6,289.74x = 8,680.23 × 3,495.24
  4. Step 4: Simplify right side
    6,289.74x = 30,339,487.11
  5. Step 5: Solve for x
    x = 30,339,487.11/6,289.74
  6. Step 6: Final answer
    x = 4,823.65

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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.