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Finding the Fourth Proportional to 4,824.43, 7,237.84 and 3,434.32

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Solution

The fourth proportional to 4,824.43, 7,237.84 and 3,434.32 is: 5,152.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,824.43 : 7,237.84 = 3,434.32 : x
  2. Step 2: Convert to fraction form
    4,824.43/7,237.84 = 3,434.32/x
  3. Step 3: Cross multiply
    4,824.43x = 7,237.84 × 3,434.32
  4. Step 4: Simplify right side
    4,824.43x = 24,857,058.67
  5. Step 5: Solve for x
    x = 24,857,058.67/4,824.43
  6. Step 6: Final answer
    x = 5,152.33

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.