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Finding the Fourth Proportional to 4,305.41, 6,458.11 and 1,185.44

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Solution

The fourth proportional to 4,305.41, 6,458.11 and 1,185.44 is: 1,778.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,305.41 : 6,458.11 = 1,185.44 : x
  2. Step 2: Convert to fraction form
    4,305.41/6,458.11 = 1,185.44/x
  3. Step 3: Cross multiply
    4,305.41x = 6,458.11 × 1,185.44
  4. Step 4: Simplify right side
    4,305.41x = 7,655,666.66
  5. Step 5: Solve for x
    x = 7,655,666.66/4,305.41
  6. Step 6: Final answer
    x = 1,778.15

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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.