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Finding the Fourth Proportional to 3,796.08, 5,696.22 and 1,457.64

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Solution

The fourth proportional to 3,796.08, 5,696.22 and 1,457.64 is: 2,187.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,796.08 : 5,696.22 = 1,457.64 : x
  2. Step 2: Convert to fraction form
    3,796.08/5,696.22 = 1,457.64/x
  3. Step 3: Cross multiply
    3,796.08x = 5,696.22 × 1,457.64
  4. Step 4: Simplify right side
    3,796.08x = 8,303,038.12
  5. Step 5: Solve for x
    x = 8,303,038.12/3,796.08
  6. Step 6: Final answer
    x = 2,187.27

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.