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Finding the Fourth Proportional to 5,784.08, 8,676.09 and 1,401.53

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Solution

The fourth proportional to 5,784.08, 8,676.09 and 1,401.53 is: 2,102.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,784.08 : 8,676.09 = 1,401.53 : x
  2. Step 2: Convert to fraction form
    5,784.08/8,676.09 = 1,401.53/x
  3. Step 3: Cross multiply
    5,784.08x = 8,676.09 × 1,401.53
  4. Step 4: Simplify right side
    5,784.08x = 12,159,750.03
  5. Step 5: Solve for x
    x = 12,159,750.03/5,784.08
  6. Step 6: Final answer
    x = 2,102.28

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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.