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Finding the Fourth Proportional to 5,283.49, 7,288.67 and 3,491.67

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Solution

The fourth proportional to 5,283.49, 7,288.67 and 3,491.67 is: 4,816.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,283.49 : 7,288.67 = 3,491.67 : x
  2. Step 2: Convert to fraction form
    5,283.49/7,288.67 = 3,491.67/x
  3. Step 3: Cross multiply
    5,283.49x = 7,288.67 × 3,491.67
  4. Step 4: Simplify right side
    5,283.49x = 25,449,630.78
  5. Step 5: Solve for x
    x = 25,449,630.78/5,283.49
  6. Step 6: Final answer
    x = 4,816.82

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1.5x scale

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.