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Finding the Fourth Proportional to 4,856.37, 6,693.72 and 3,438.24

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Solution

The fourth proportional to 4,856.37, 6,693.72 and 3,438.24 is: 4,739.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,856.37 : 6,693.72 = 3,438.24 : x
  2. Step 2: Convert to fraction form
    4,856.37/6,693.72 = 3,438.24/x
  3. Step 3: Cross multiply
    4,856.37x = 6,693.72 × 3,438.24
  4. Step 4: Simplify right side
    4,856.37x = 23,014,615.85
  5. Step 5: Solve for x
    x = 23,014,615.85/4,856.37
  6. Step 6: Final answer
    x = 4,739.06

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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.