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Finding the Fourth Proportional to 5,977.60, 8,966.40 and 4,019.20

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Solution

The fourth proportional to 5,977.60, 8,966.40 and 4,019.20 is: 6,028.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,977.60 : 8,966.40 = 4,019.20 : x
  2. Step 2: Convert to fraction form
    5,977.60/8,966.40 = 4,019.20/x
  3. Step 3: Cross multiply
    5,977.60x = 8,966.40 × 4,019.20
  4. Step 4: Simplify right side
    5,977.60x = 36,037,754.88
  5. Step 5: Solve for x
    x = 36,037,754.88/5,977.60
  6. Step 6: Final answer
    x = 6,028.80

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Why These Related Problems?

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