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Finding the Fourth Proportional to 5,911.76, 8,875.74 and 3,713.96

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Solution

The fourth proportional to 5,911.76, 8,875.74 and 3,713.96 is: 5,576.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,911.76 : 8,875.74 = 3,713.96 : x
  2. Step 2: Convert to fraction form
    5,911.76/8,875.74 = 3,713.96/x
  3. Step 3: Cross multiply
    5,911.76x = 8,875.74 × 3,713.96
  4. Step 4: Simplify right side
    5,911.76x = 32,964,143.33
  5. Step 5: Solve for x
    x = 32,964,143.33/5,911.76
  6. Step 6: Final answer
    x = 5,576.03

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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.