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Finding the Fourth Proportional to 5,784.51, 8,676.80 and 1,401.96

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Solution

The fourth proportional to 5,784.51, 8,676.80 and 1,401.96 is: 2,102.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,784.51 : 8,676.80 = 1,401.96 : x
  2. Step 2: Convert to fraction form
    5,784.51/8,676.80 = 1,401.96/x
  3. Step 3: Cross multiply
    5,784.51x = 8,676.80 × 1,401.96
  4. Step 4: Simplify right side
    5,784.51x = 12,164,519.52
  5. Step 5: Solve for x
    x = 12,164,519.52/5,784.51
  6. Step 6: Final answer
    x = 2,102.95

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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.