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Finding the Fourth Proportional to 5,771.60, 7,963.02 and 3,531.14

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Solution

The fourth proportional to 5,771.60, 7,963.02 and 3,531.14 is: 4,871.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,771.60 : 7,963.02 = 3,531.14 : x
  2. Step 2: Convert to fraction form
    5,771.60/7,963.02 = 3,531.14/x
  3. Step 3: Cross multiply
    5,771.60x = 7,963.02 × 3,531.14
  4. Step 4: Simplify right side
    5,771.60x = 28,118,498.63
  5. Step 5: Solve for x
    x = 28,118,498.63/5,771.60
  6. Step 6: Final answer
    x = 4,871.88

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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.