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Finding the Fourth Proportional to 3,185.66, 4,774.36 and 1,429.38

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Solution

The fourth proportional to 3,185.66, 4,774.36 and 1,429.38 is: 2,142.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,185.66 : 4,774.36 = 1,429.38 : x
  2. Step 2: Convert to fraction form
    3,185.66/4,774.36 = 1,429.38/x
  3. Step 3: Cross multiply
    3,185.66x = 4,774.36 × 1,429.38
  4. Step 4: Simplify right side
    3,185.66x = 6,824,374.70
  5. Step 5: Solve for x
    x = 6,824,374.70/3,185.66
  6. Step 6: Final answer
    x = 2,142.22

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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.