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Finding the Fourth Proportional to 5,955.53, 8,214.86 and 3,827.40

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Solution

The fourth proportional to 5,955.53, 8,214.86 and 3,827.40 is: 5,279.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,955.53 : 8,214.86 = 3,827.40 : x
  2. Step 2: Convert to fraction form
    5,955.53/8,214.86 = 3,827.40/x
  3. Step 3: Cross multiply
    5,955.53x = 8,214.86 × 3,827.40
  4. Step 4: Simplify right side
    5,955.53x = 31,441,536.03
  5. Step 5: Solve for x
    x = 31,441,536.03/5,955.53
  6. Step 6: Final answer
    x = 5,279.38

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Why These Related Problems?

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