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Finding the Fourth Proportional to 5,487.05, 8,232.18 and 1,977

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Solution

The fourth proportional to 5,487.05, 8,232.18 and 1,977 is: 2,966.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,487.05 : 8,232.18 = 1,977 : x
  2. Step 2: Convert to fraction form
    5,487.05/8,232.18 = 1,977/x
  3. Step 3: Cross multiply
    5,487.05x = 8,232.18 × 1,977
  4. Step 4: Simplify right side
    5,487.05x = 16,275,019.86
  5. Step 5: Solve for x
    x = 16,275,019.86/5,487.05
  6. Step 6: Final answer
    x = 2,966.08

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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.