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Finding the Fourth Proportional to 5,097.90, 7,643.96 and 1,765.14

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Solution

The fourth proportional to 5,097.90, 7,643.96 and 1,765.14 is: 2,646.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,097.90 : 7,643.96 = 1,765.14 : x
  2. Step 2: Convert to fraction form
    5,097.90/7,643.96 = 1,765.14/x
  3. Step 3: Cross multiply
    5,097.90x = 7,643.96 × 1,765.14
  4. Step 4: Simplify right side
    5,097.90x = 13,492,659.55
  5. Step 5: Solve for x
    x = 13,492,659.55/5,097.90
  6. Step 6: Final answer
    x = 2,646.71

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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.