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Finding the Fourth Proportional to 4,142.56, 6,211.05 and 1,368.25

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Solution

The fourth proportional to 4,142.56, 6,211.05 and 1,368.25 is: 2,051.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,142.56 : 6,211.05 = 1,368.25 : x
  2. Step 2: Convert to fraction form
    4,142.56/6,211.05 = 1,368.25/x
  3. Step 3: Cross multiply
    4,142.56x = 6,211.05 × 1,368.25
  4. Step 4: Simplify right side
    4,142.56x = 8,498,269.16
  5. Step 5: Solve for x
    x = 8,498,269.16/4,142.56
  6. Step 6: Final answer
    x = 2,051.45

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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.