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Finding the Fourth Proportional to 5,376.86, 8,065.67 and 1,428.09

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Solution

The fourth proportional to 5,376.86, 8,065.67 and 1,428.09 is: 2,142.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,376.86 : 8,065.67 = 1,428.09 : x
  2. Step 2: Convert to fraction form
    5,376.86/8,065.67 = 1,428.09/x
  3. Step 3: Cross multiply
    5,376.86x = 8,065.67 × 1,428.09
  4. Step 4: Simplify right side
    5,376.86x = 11,518,506.24
  5. Step 5: Solve for x
    x = 11,518,506.24/5,376.86
  6. Step 6: Final answer
    x = 2,142.24

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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.