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Finding the Fourth Proportional to 5,788.79, 8,682.00 and 1,628.99

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Solution

The fourth proportional to 5,788.79, 8,682.00 and 1,628.99 is: 2,443.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,788.79 : 8,682.00 = 1,628.99 : x
  2. Step 2: Convert to fraction form
    5,788.79/8,682.00 = 1,628.99/x
  3. Step 3: Cross multiply
    5,788.79x = 8,682.00 × 1,628.99
  4. Step 4: Simplify right side
    5,788.79x = 14,142,853.88
  5. Step 5: Solve for x
    x = 14,142,853.88/5,788.79
  6. Step 6: Final answer
    x = 2,443.15

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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.