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Finding the Fourth Proportional to 3,184.66, 4,773.32 and 1,235.21

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Solution

The fourth proportional to 3,184.66, 4,773.32 and 1,235.21 is: 1,851.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,184.66 : 4,773.32 = 1,235.21 : x
  2. Step 2: Convert to fraction form
    3,184.66/4,773.32 = 1,235.21/x
  3. Step 3: Cross multiply
    3,184.66x = 4,773.32 × 1,235.21
  4. Step 4: Simplify right side
    3,184.66x = 5,896,046.42
  5. Step 5: Solve for x
    x = 5,896,046.42/3,184.66
  6. Step 6: Final answer
    x = 1,851.39

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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.