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Finding the Fourth Proportional to 5,435.10, 8,164.80 and 5,289.30

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Solution

The fourth proportional to 5,435.10, 8,164.80 and 5,289.30 is: 7,945.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,435.10 : 8,164.80 = 5,289.30 : x
  2. Step 2: Convert to fraction form
    5,435.10/8,164.80 = 5,289.30/x
  3. Step 3: Cross multiply
    5,435.10x = 8,164.80 × 5,289.30
  4. Step 4: Simplify right side
    5,435.10x = 43,186,076.64
  5. Step 5: Solve for x
    x = 43,186,076.64/5,435.10
  6. Step 6: Final answer
    x = 7,945.77

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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.