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Finding the Fourth Proportional to 5,186.76, 7,780.38 and 2,265

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Solution

The fourth proportional to 5,186.76, 7,780.38 and 2,265 is: 3,397.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,186.76 : 7,780.38 = 2,265 : x
  2. Step 2: Convert to fraction form
    5,186.76/7,780.38 = 2,265/x
  3. Step 3: Cross multiply
    5,186.76x = 7,780.38 × 2,265
  4. Step 4: Simplify right side
    5,186.76x = 17,622,560.70
  5. Step 5: Solve for x
    x = 17,622,560.70/5,186.76
  6. Step 6: Final answer
    x = 3,397.60

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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.