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Finding the Fourth Proportional to 5,207.16, 7,806.90 and 1,920.30

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Solution

The fourth proportional to 5,207.16, 7,806.90 and 1,920.30 is: 2,879.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,207.16 : 7,806.90 = 1,920.30 : x
  2. Step 2: Convert to fraction form
    5,207.16/7,806.90 = 1,920.30/x
  3. Step 3: Cross multiply
    5,207.16x = 7,806.90 × 1,920.30
  4. Step 4: Simplify right side
    5,207.16x = 14,991,590.07
  5. Step 5: Solve for x
    x = 14,991,590.07/5,207.16
  6. Step 6: Final answer
    x = 2,879.03

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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.