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Finding the Fourth Proportional to 5,262.34, 7,262.22 and 3,024.28

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Solution

The fourth proportional to 5,262.34, 7,262.22 and 3,024.28 is: 4,173.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,262.34 : 7,262.22 = 3,024.28 : x
  2. Step 2: Convert to fraction form
    5,262.34/7,262.22 = 3,024.28/x
  3. Step 3: Cross multiply
    5,262.34x = 7,262.22 × 3,024.28
  4. Step 4: Simplify right side
    5,262.34x = 21,962,986.70
  5. Step 5: Solve for x
    x = 21,962,986.70/5,262.34
  6. Step 6: Final answer
    x = 4,173.62

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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.