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Finding the Fourth Proportional to 4,238.52, 6,347.34 and 2,776.20

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Solution

The fourth proportional to 4,238.52, 6,347.34 and 2,776.20 is: 4,157.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,238.52 : 6,347.34 = 2,776.20 : x
  2. Step 2: Convert to fraction form
    4,238.52/6,347.34 = 2,776.20/x
  3. Step 3: Cross multiply
    4,238.52x = 6,347.34 × 2,776.20
  4. Step 4: Simplify right side
    4,238.52x = 17,621,485.31
  5. Step 5: Solve for x
    x = 17,621,485.31/4,238.52
  6. Step 6: Final answer
    x = 4,157.46

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