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Finding the Fourth Proportional to 5,934.51, 8,186.20 and 3,838.64

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Solution

The fourth proportional to 5,934.51, 8,186.20 and 3,838.64 is: 5,295.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,934.51 : 8,186.20 = 3,838.64 : x
  2. Step 2: Convert to fraction form
    5,934.51/8,186.20 = 3,838.64/x
  3. Step 3: Cross multiply
    5,934.51x = 8,186.20 × 3,838.64
  4. Step 4: Simplify right side
    5,934.51x = 31,423,824.24
  5. Step 5: Solve for x
    x = 31,423,824.24/5,934.51
  6. Step 6: Final answer
    x = 5,295.10

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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.