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Finding the Fourth Proportional to 5,002.24, 7,502 and 1,882.12

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Solution

The fourth proportional to 5,002.24, 7,502 and 1,882.12 is: 2,822.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,002.24 : 7,502 = 1,882.12 : x
  2. Step 2: Convert to fraction form
    5,002.24/7,502 = 1,882.12/x
  3. Step 3: Cross multiply
    5,002.24x = 7,502 × 1,882.12
  4. Step 4: Simplify right side
    5,002.24x = 14,119,664.24
  5. Step 5: Solve for x
    x = 14,119,664.24/5,002.24
  6. Step 6: Final answer
    x = 2,822.67

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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.