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Finding the Fourth Proportional to 4,186, 5,778.12 and 2,530

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Solution

The fourth proportional to 4,186, 5,778.12 and 2,530 is: 3,492.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,186 : 5,778.12 = 2,530 : x
  2. Step 2: Convert to fraction form
    4,186/5,778.12 = 2,530/x
  3. Step 3: Cross multiply
    4,186x = 5,778.12 × 2,530
  4. Step 4: Simplify right side
    4,186x = 14,618,643.60
  5. Step 5: Solve for x
    x = 14,618,643.60/4,186
  6. Step 6: Final answer
    x = 3,492.27

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.