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Finding the Fourth Proportional to 5,197.04, 7,797 and 2,890.16

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Solution

The fourth proportional to 5,197.04, 7,797 and 2,890.16 is: 4,336.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,197.04 : 7,797 = 2,890.16 : x
  2. Step 2: Convert to fraction form
    5,197.04/7,797 = 2,890.16/x
  3. Step 3: Cross multiply
    5,197.04x = 7,797 × 2,890.16
  4. Step 4: Simplify right side
    5,197.04x = 22,534,577.52
  5. Step 5: Solve for x
    x = 22,534,577.52/5,197.04
  6. Step 6: Final answer
    x = 4,336.04

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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.