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Finding the Fourth Proportional to 6,389.55, 8,817.75 and 3,872.10

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Solution

The fourth proportional to 6,389.55, 8,817.75 and 3,872.10 is: 5,343.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,389.55 : 8,817.75 = 3,872.10 : x
  2. Step 2: Convert to fraction form
    6,389.55/8,817.75 = 3,872.10/x
  3. Step 3: Cross multiply
    6,389.55x = 8,817.75 × 3,872.10
  4. Step 4: Simplify right side
    6,389.55x = 34,143,209.78
  5. Step 5: Solve for x
    x = 34,143,209.78/6,389.55
  6. Step 6: Final answer
    x = 5,343.60

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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.