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Finding the Fourth Proportional to 5,581.84, 8,370.63 and 1,832.74

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Solution

The fourth proportional to 5,581.84, 8,370.63 and 1,832.74 is: 2,748.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,581.84 : 8,370.63 = 1,832.74 : x
  2. Step 2: Convert to fraction form
    5,581.84/8,370.63 = 1,832.74/x
  3. Step 3: Cross multiply
    5,581.84x = 8,370.63 × 1,832.74
  4. Step 4: Simplify right side
    5,581.84x = 15,341,188.43
  5. Step 5: Solve for x
    x = 15,341,188.43/5,581.84
  6. Step 6: Final answer
    x = 2,748.41

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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.