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Finding the Fourth Proportional to 3,832.43, 5,748.98 and 1,059.10

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Solution

The fourth proportional to 3,832.43, 5,748.98 and 1,059.10 is: 1,588.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,832.43 : 5,748.98 = 1,059.10 : x
  2. Step 2: Convert to fraction form
    3,832.43/5,748.98 = 1,059.10/x
  3. Step 3: Cross multiply
    3,832.43x = 5,748.98 × 1,059.10
  4. Step 4: Simplify right side
    3,832.43x = 6,088,741.22
  5. Step 5: Solve for x
    x = 6,088,741.22/3,832.43
  6. Step 6: Final answer
    x = 1,588.74

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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.