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Finding the Fourth Proportional to 3,289.60, 4,937.10 and 3,181.60

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Solution

The fourth proportional to 3,289.60, 4,937.10 and 3,181.60 is: 4,775.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,289.60 : 4,937.10 = 3,181.60 : x
  2. Step 2: Convert to fraction form
    3,289.60/4,937.10 = 3,181.60/x
  3. Step 3: Cross multiply
    3,289.60x = 4,937.10 × 3,181.60
  4. Step 4: Simplify right side
    3,289.60x = 15,707,877.36
  5. Step 5: Solve for x
    x = 15,707,877.36/3,289.60
  6. Step 6: Final answer
    x = 4,775.01

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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.