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Finding the Fourth Proportional to 4,171.42, 5,756.07 and 2,492.52

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Solution

The fourth proportional to 4,171.42, 5,756.07 and 2,492.52 is: 3,439.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,171.42 : 5,756.07 = 2,492.52 : x
  2. Step 2: Convert to fraction form
    4,171.42/5,756.07 = 2,492.52/x
  3. Step 3: Cross multiply
    4,171.42x = 5,756.07 × 2,492.52
  4. Step 4: Simplify right side
    4,171.42x = 14,347,119.60
  5. Step 5: Solve for x
    x = 14,347,119.60/4,171.42
  6. Step 6: Final answer
    x = 3,439.39

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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.