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Finding the Fourth Proportional to 5,784.42, 8,676.55 and 1,401.84

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Solution

The fourth proportional to 5,784.42, 8,676.55 and 1,401.84 is: 2,102.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,784.42 : 8,676.55 = 1,401.84 : x
  2. Step 2: Convert to fraction form
    5,784.42/8,676.55 = 1,401.84/x
  3. Step 3: Cross multiply
    5,784.42x = 8,676.55 × 1,401.84
  4. Step 4: Simplify right side
    5,784.42x = 12,163,134.85
  5. Step 5: Solve for x
    x = 12,163,134.85/5,784.42
  6. Step 6: Final answer
    x = 2,102.74

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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.