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Finding the Fourth Proportional to 5,827.50, 8,043.06 and 3,343.50

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Solution

The fourth proportional to 5,827.50, 8,043.06 and 3,343.50 is: 4,614.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,827.50 : 8,043.06 = 3,343.50 : x
  2. Step 2: Convert to fraction form
    5,827.50/8,043.06 = 3,343.50/x
  3. Step 3: Cross multiply
    5,827.50x = 8,043.06 × 3,343.50
  4. Step 4: Simplify right side
    5,827.50x = 26,891,971.11
  5. Step 5: Solve for x
    x = 26,891,971.11/5,827.50
  6. Step 6: Final answer
    x = 4,614.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.