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Finding the Fourth Proportional to 5,843.41, 8,762.96 and 1,682.02

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Solution

The fourth proportional to 5,843.41, 8,762.96 and 1,682.02 is: 2,522.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,843.41 : 8,762.96 = 1,682.02 : x
  2. Step 2: Convert to fraction form
    5,843.41/8,762.96 = 1,682.02/x
  3. Step 3: Cross multiply
    5,843.41x = 8,762.96 × 1,682.02
  4. Step 4: Simplify right side
    5,843.41x = 14,739,421.75
  5. Step 5: Solve for x
    x = 14,739,421.75/5,843.41
  6. Step 6: Final answer
    x = 2,522.40

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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.