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Finding the Fourth Proportional to 6,289.46, 8,679.68 and 3,457.10

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Solution

The fourth proportional to 6,289.46, 8,679.68 and 3,457.10 is: 4,770.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,289.46 : 8,679.68 = 3,457.10 : x
  2. Step 2: Convert to fraction form
    6,289.46/8,679.68 = 3,457.10/x
  3. Step 3: Cross multiply
    6,289.46x = 8,679.68 × 3,457.10
  4. Step 4: Simplify right side
    6,289.46x = 30,006,461.04
  5. Step 5: Solve for x
    x = 30,006,461.04/6,289.46
  6. Step 6: Final answer
    x = 4,770.92

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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.