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Finding the Fourth Proportional to 5,957.56, 8,216.40 and 5,629.24

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Solution

The fourth proportional to 5,957.56, 8,216.40 and 5,629.24 is: 7,763.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,957.56 : 8,216.40 = 5,629.24 : x
  2. Step 2: Convert to fraction form
    5,957.56/8,216.40 = 5,629.24/x
  3. Step 3: Cross multiply
    5,957.56x = 8,216.40 × 5,629.24
  4. Step 4: Simplify right side
    5,957.56x = 46,252,087.54
  5. Step 5: Solve for x
    x = 46,252,087.54/5,957.56
  6. Step 6: Final answer
    x = 7,763.60

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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.