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Finding the Fourth Proportional to 4,314.42, 5,952.22 and 2,425.57

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Solution

The fourth proportional to 4,314.42, 5,952.22 and 2,425.57 is: 3,346.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,314.42 : 5,952.22 = 2,425.57 : x
  2. Step 2: Convert to fraction form
    4,314.42/5,952.22 = 2,425.57/x
  3. Step 3: Cross multiply
    4,314.42x = 5,952.22 × 2,425.57
  4. Step 4: Simplify right side
    4,314.42x = 14,437,522.06
  5. Step 5: Solve for x
    x = 14,437,522.06/4,314.42
  6. Step 6: Final answer
    x = 3,346.34

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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.