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Finding the Fourth Proportional to 5,389.35, 7,437.25 and 3,031.50

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Solution

The fourth proportional to 5,389.35, 7,437.25 and 3,031.50 is: 4,183.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,389.35 : 7,437.25 = 3,031.50 : x
  2. Step 2: Convert to fraction form
    5,389.35/7,437.25 = 3,031.50/x
  3. Step 3: Cross multiply
    5,389.35x = 7,437.25 × 3,031.50
  4. Step 4: Simplify right side
    5,389.35x = 22,546,023.38
  5. Step 5: Solve for x
    x = 22,546,023.38/5,389.35
  6. Step 6: Final answer
    x = 4,183.44

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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.