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Finding the Fourth Proportional to 4,174.80, 6,254.10 and 2,322.60

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Solution

The fourth proportional to 4,174.80, 6,254.10 and 2,322.60 is: 3,479.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,174.80 : 6,254.10 = 2,322.60 : x
  2. Step 2: Convert to fraction form
    4,174.80/6,254.10 = 2,322.60/x
  3. Step 3: Cross multiply
    4,174.80x = 6,254.10 × 2,322.60
  4. Step 4: Simplify right side
    4,174.80x = 14,525,772.66
  5. Step 5: Solve for x
    x = 14,525,772.66/4,174.80
  6. Step 6: Final answer
    x = 3,479.39

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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.