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Finding the Fourth Proportional to 5,977.42, 8,966.14 and 1,817.46

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Solution

The fourth proportional to 5,977.42, 8,966.14 and 1,817.46 is: 2,726.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,977.42 : 8,966.14 = 1,817.46 : x
  2. Step 2: Convert to fraction form
    5,977.42/8,966.14 = 1,817.46/x
  3. Step 3: Cross multiply
    5,977.42x = 8,966.14 × 1,817.46
  4. Step 4: Simplify right side
    5,977.42x = 16,295,631.70
  5. Step 5: Solve for x
    x = 16,295,631.70/5,977.42
  6. Step 6: Final answer
    x = 2,726.20

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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.