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Finding the Fourth Proportional to 5,201.64, 7,174.98 and 3,629.16

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Solution

The fourth proportional to 5,201.64, 7,174.98 and 3,629.16 is: 5,005.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,201.64 : 7,174.98 = 3,629.16 : x
  2. Step 2: Convert to fraction form
    5,201.64/7,174.98 = 3,629.16/x
  3. Step 3: Cross multiply
    5,201.64x = 7,174.98 × 3,629.16
  4. Step 4: Simplify right side
    5,201.64x = 26,039,150.42
  5. Step 5: Solve for x
    x = 26,039,150.42/5,201.64
  6. Step 6: Final answer
    x = 5,005.95

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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.