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Finding the Fourth Proportional to 5,977.41, 8,966.11 and 2,847.93

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Solution

The fourth proportional to 5,977.41, 8,966.11 and 2,847.93 is: 4,271.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,977.41 : 8,966.11 = 2,847.93 : x
  2. Step 2: Convert to fraction form
    5,977.41/8,966.11 = 2,847.93/x
  3. Step 3: Cross multiply
    5,977.41x = 8,966.11 × 2,847.93
  4. Step 4: Simplify right side
    5,977.41x = 25,534,853.65
  5. Step 5: Solve for x
    x = 25,534,853.65/5,977.41
  6. Step 6: Final answer
    x = 4,271.89

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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.