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Finding the Fourth Proportional to 5,185.66, 7,778.97 and 1,897.87

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Solution

The fourth proportional to 5,185.66, 7,778.97 and 1,897.87 is: 2,846.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,185.66 : 7,778.97 = 1,897.87 : x
  2. Step 2: Convert to fraction form
    5,185.66/7,778.97 = 1,897.87/x
  3. Step 3: Cross multiply
    5,185.66x = 7,778.97 × 1,897.87
  4. Step 4: Simplify right side
    5,185.66x = 14,763,473.79
  5. Step 5: Solve for x
    x = 14,763,473.79/5,185.66
  6. Step 6: Final answer
    x = 2,846.98

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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.