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Finding the Fourth Proportional to 5,788.23, 8,682.95 and 1,892.63

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Solution

The fourth proportional to 5,788.23, 8,682.95 and 1,892.63 is: 2,839.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,788.23 : 8,682.95 = 1,892.63 : x
  2. Step 2: Convert to fraction form
    5,788.23/8,682.95 = 1,892.63/x
  3. Step 3: Cross multiply
    5,788.23x = 8,682.95 × 1,892.63
  4. Step 4: Simplify right side
    5,788.23x = 16,433,558.78
  5. Step 5: Solve for x
    x = 16,433,558.78/5,788.23
  6. Step 6: Final answer
    x = 2,839.13

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1.5x scale

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.