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Finding the Fourth Proportional to 5,833.22, 8,748.03 and 1,672.11

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Solution

The fourth proportional to 5,833.22, 8,748.03 and 1,672.11 is: 2,507.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,833.22 : 8,748.03 = 1,672.11 : x
  2. Step 2: Convert to fraction form
    5,833.22/8,748.03 = 1,672.11/x
  3. Step 3: Cross multiply
    5,833.22x = 8,748.03 × 1,672.11
  4. Step 4: Simplify right side
    5,833.22x = 14,627,616.34
  5. Step 5: Solve for x
    x = 14,627,616.34/5,833.22
  6. Step 6: Final answer
    x = 2,507.64

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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.