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Finding the Fourth Proportional to 5,186.65, 7,780.02 and 1,291.05

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Solution

The fourth proportional to 5,186.65, 7,780.02 and 1,291.05 is: 1,936.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,186.65 : 7,780.02 = 1,291.05 : x
  2. Step 2: Convert to fraction form
    5,186.65/7,780.02 = 1,291.05/x
  3. Step 3: Cross multiply
    5,186.65x = 7,780.02 × 1,291.05
  4. Step 4: Simplify right side
    5,186.65x = 10,044,394.82
  5. Step 5: Solve for x
    x = 10,044,394.82/5,186.65
  6. Step 6: Final answer
    x = 1,936.59

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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.