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Finding the Fourth Proportional to 4,357.98, 6,014.00 and 2,469.56

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Solution

The fourth proportional to 4,357.98, 6,014.00 and 2,469.56 is: 3,407.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,357.98 : 6,014.00 = 2,469.56 : x
  2. Step 2: Convert to fraction form
    4,357.98/6,014.00 = 2,469.56/x
  3. Step 3: Cross multiply
    4,357.98x = 6,014.00 × 2,469.56
  4. Step 4: Simplify right side
    4,357.98x = 14,851,891.42
  5. Step 5: Solve for x
    x = 14,851,891.42/4,357.98
  6. Step 6: Final answer
    x = 3,407.98

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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.