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Finding the Fourth Proportional to 5,186.57, 7,778.78 and 1,487.98

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Solution

The fourth proportional to 5,186.57, 7,778.78 and 1,487.98 is: 2,231.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,186.57 : 7,778.78 = 1,487.98 : x
  2. Step 2: Convert to fraction form
    5,186.57/7,778.78 = 1,487.98/x
  3. Step 3: Cross multiply
    5,186.57x = 7,778.78 × 1,487.98
  4. Step 4: Simplify right side
    5,186.57x = 11,574,630.17
  5. Step 5: Solve for x
    x = 11,574,630.17/5,186.57
  6. Step 6: Final answer
    x = 2,231.66

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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.