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Finding the Fourth Proportional to 5,265.69, 7,895.89 and 1,754.46

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Solution

The fourth proportional to 5,265.69, 7,895.89 and 1,754.46 is: 2,630.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,265.69 : 7,895.89 = 1,754.46 : x
  2. Step 2: Convert to fraction form
    5,265.69/7,895.89 = 1,754.46/x
  3. Step 3: Cross multiply
    5,265.69x = 7,895.89 × 1,754.46
  4. Step 4: Simplify right side
    5,265.69x = 13,852,974.92
  5. Step 5: Solve for x
    x = 13,852,974.92/5,265.69
  6. Step 6: Final answer
    x = 2,630.80

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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.