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Finding the Fourth Proportional to 4,346.48, 5,993.80 and 2,774

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Solution

The fourth proportional to 4,346.48, 5,993.80 and 2,774 is: 3,825.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,346.48 : 5,993.80 = 2,774 : x
  2. Step 2: Convert to fraction form
    4,346.48/5,993.80 = 2,774/x
  3. Step 3: Cross multiply
    4,346.48x = 5,993.80 × 2,774
  4. Step 4: Simplify right side
    4,346.48x = 16,626,801.20
  5. Step 5: Solve for x
    x = 16,626,801.20/4,346.48
  6. Step 6: Final answer
    x = 3,825.35

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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.