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Finding the Fourth Proportional to 5,486.70, 8,230.85 and 1,788.02

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Solution

The fourth proportional to 5,486.70, 8,230.85 and 1,788.02 is: 2,682.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,486.70 : 8,230.85 = 1,788.02 : x
  2. Step 2: Convert to fraction form
    5,486.70/8,230.85 = 1,788.02/x
  3. Step 3: Cross multiply
    5,486.70x = 8,230.85 × 1,788.02
  4. Step 4: Simplify right side
    5,486.70x = 14,716,911.89
  5. Step 5: Solve for x
    x = 14,716,911.89/5,486.70
  6. Step 6: Final answer
    x = 2,682.29

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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.