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Finding the Fourth Proportional to 5,209.93, 7,814.90 and 1,314.64

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Solution

The fourth proportional to 5,209.93, 7,814.90 and 1,314.64 is: 1,971.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,209.93 : 7,814.90 = 1,314.64 : x
  2. Step 2: Convert to fraction form
    5,209.93/7,814.90 = 1,314.64/x
  3. Step 3: Cross multiply
    5,209.93x = 7,814.90 × 1,314.64
  4. Step 4: Simplify right side
    5,209.93x = 10,273,780.14
  5. Step 5: Solve for x
    x = 10,273,780.14/5,209.93
  6. Step 6: Final answer
    x = 1,971.96

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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.