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Finding the Fourth Proportional to 5,491, 8,230.70 and 2,370.28

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Solution

The fourth proportional to 5,491, 8,230.70 and 2,370.28 is: 3,552.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,491 : 8,230.70 = 2,370.28 : x
  2. Step 2: Convert to fraction form
    5,491/8,230.70 = 2,370.28/x
  3. Step 3: Cross multiply
    5,491x = 8,230.70 × 2,370.28
  4. Step 4: Simplify right side
    5,491x = 19,509,063.60
  5. Step 5: Solve for x
    x = 19,509,063.60/5,491
  6. Step 6: Final answer
    x = 3,552.92

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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.