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Finding the Fourth Proportional to 5,784.50, 8,676.75 and 1,401.95

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Solution

The fourth proportional to 5,784.50, 8,676.75 and 1,401.95 is: 2,102.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,784.50 : 8,676.75 = 1,401.95 : x
  2. Step 2: Convert to fraction form
    5,784.50/8,676.75 = 1,401.95/x
  3. Step 3: Cross multiply
    5,784.50x = 8,676.75 × 1,401.95
  4. Step 4: Simplify right side
    5,784.50x = 12,164,326.28
  5. Step 5: Solve for x
    x = 12,164,326.28/5,784.50
  6. Step 6: Final answer
    x = 2,102.92

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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.