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Finding the Fourth Proportional to 4,877.10, 7,331.85 and 4,164.30

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Solution

The fourth proportional to 4,877.10, 7,331.85 and 4,164.30 is: 6,260.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,877.10 : 7,331.85 = 4,164.30 : x
  2. Step 2: Convert to fraction form
    4,877.10/7,331.85 = 4,164.30/x
  3. Step 3: Cross multiply
    4,877.10x = 7,331.85 × 4,164.30
  4. Step 4: Simplify right side
    4,877.10x = 30,532,022.96
  5. Step 5: Solve for x
    x = 30,532,022.96/4,877.10
  6. Step 6: Final answer
    x = 6,260.28

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.