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Finding the Fourth Proportional to 4,185.90, 5,774.07 and 2,693.34

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Solution

The fourth proportional to 4,185.90, 5,774.07 and 2,693.34 is: 3,715.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,185.90 : 5,774.07 = 2,693.34 : x
  2. Step 2: Convert to fraction form
    4,185.90/5,774.07 = 2,693.34/x
  3. Step 3: Cross multiply
    4,185.90x = 5,774.07 × 2,693.34
  4. Step 4: Simplify right side
    4,185.90x = 15,551,533.69
  5. Step 5: Solve for x
    x = 15,551,533.69/4,185.90
  6. Step 6: Final answer
    x = 3,715.22

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.