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Finding the Fourth Proportional to 4,141.86, 6,211.48 and 1,368.02

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Solution

The fourth proportional to 4,141.86, 6,211.48 and 1,368.02 is: 2,051.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,141.86 : 6,211.48 = 1,368.02 : x
  2. Step 2: Convert to fraction form
    4,141.86/6,211.48 = 1,368.02/x
  3. Step 3: Cross multiply
    4,141.86x = 6,211.48 × 1,368.02
  4. Step 4: Simplify right side
    4,141.86x = 8,497,428.87
  5. Step 5: Solve for x
    x = 8,497,428.87/4,141.86
  6. Step 6: Final answer
    x = 2,051.60

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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.