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Finding the Fourth Proportional to 5,828.24, 8,043.72 and 3,344.24

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Solution

The fourth proportional to 5,828.24, 8,043.72 and 3,344.24 is: 4,615.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,828.24 : 8,043.72 = 3,344.24 : x
  2. Step 2: Convert to fraction form
    5,828.24/8,043.72 = 3,344.24/x
  3. Step 3: Cross multiply
    5,828.24x = 8,043.72 × 3,344.24
  4. Step 4: Simplify right side
    5,828.24x = 26,900,130.17
  5. Step 5: Solve for x
    x = 26,900,130.17/5,828.24
  6. Step 6: Final answer
    x = 4,615.48

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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.