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Finding the Fourth Proportional to 5,986.56, 8,258.28 and 3,628.24

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Solution

The fourth proportional to 5,986.56, 8,258.28 and 3,628.24 is: 5,005.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,986.56 : 8,258.28 = 3,628.24 : x
  2. Step 2: Convert to fraction form
    5,986.56/8,258.28 = 3,628.24/x
  3. Step 3: Cross multiply
    5,986.56x = 8,258.28 × 3,628.24
  4. Step 4: Simplify right side
    5,986.56x = 29,963,021.83
  5. Step 5: Solve for x
    x = 29,963,021.83/5,986.56
  6. Step 6: Final answer
    x = 5,005.05

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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.