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Finding the Fourth Proportional to 3,774.29, 5,659.22 and 1,141.01

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Solution

The fourth proportional to 3,774.29, 5,659.22 and 1,141.01 is: 1,710.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,774.29 : 5,659.22 = 1,141.01 : x
  2. Step 2: Convert to fraction form
    3,774.29/5,659.22 = 1,141.01/x
  3. Step 3: Cross multiply
    3,774.29x = 5,659.22 × 1,141.01
  4. Step 4: Simplify right side
    3,774.29x = 6,457,201.17
  5. Step 5: Solve for x
    x = 6,457,201.17/3,774.29
  6. Step 6: Final answer
    x = 1,710.84

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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.