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Finding the Fourth Proportional to 5,779.62, 8,670.24 and 2,857.14

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Solution

The fourth proportional to 5,779.62, 8,670.24 and 2,857.14 is: 4,286.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,779.62 : 8,670.24 = 2,857.14 : x
  2. Step 2: Convert to fraction form
    5,779.62/8,670.24 = 2,857.14/x
  3. Step 3: Cross multiply
    5,779.62x = 8,670.24 × 2,857.14
  4. Step 4: Simplify right side
    5,779.62x = 24,772,089.51
  5. Step 5: Solve for x
    x = 24,772,089.51/5,779.62
  6. Step 6: Final answer
    x = 4,286.11

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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.