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Finding the Fourth Proportional to 5,307.68, 7,958.28 and 2,186.72

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Solution

The fourth proportional to 5,307.68, 7,958.28 and 2,186.72 is: 3,278.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,307.68 : 7,958.28 = 2,186.72 : x
  2. Step 2: Convert to fraction form
    5,307.68/7,958.28 = 2,186.72/x
  3. Step 3: Cross multiply
    5,307.68x = 7,958.28 × 2,186.72
  4. Step 4: Simplify right side
    5,307.68x = 17,402,530.04
  5. Step 5: Solve for x
    x = 17,402,530.04/5,307.68
  6. Step 6: Final answer
    x = 3,278.75

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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.