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Finding the Fourth Proportional to 5,833.76, 8,749.34 and 1,673.75

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Solution

The fourth proportional to 5,833.76, 8,749.34 and 1,673.75 is: 2,510.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,833.76 : 8,749.34 = 1,673.75 : x
  2. Step 2: Convert to fraction form
    5,833.76/8,749.34 = 1,673.75/x
  3. Step 3: Cross multiply
    5,833.76x = 8,749.34 × 1,673.75
  4. Step 4: Simplify right side
    5,833.76x = 14,644,207.83
  5. Step 5: Solve for x
    x = 14,644,207.83/5,833.76
  6. Step 6: Final answer
    x = 2,510.25

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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.