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Finding the Fourth Proportional to 5,322.34, 7,344.26 and 3,084.92

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Solution

The fourth proportional to 5,322.34, 7,344.26 and 3,084.92 is: 4,256.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,322.34 : 7,344.26 = 3,084.92 : x
  2. Step 2: Convert to fraction form
    5,322.34/7,344.26 = 3,084.92/x
  3. Step 3: Cross multiply
    5,322.34x = 7,344.26 × 3,084.92
  4. Step 4: Simplify right side
    5,322.34x = 22,656,417.84
  5. Step 5: Solve for x
    x = 22,656,417.84/5,322.34
  6. Step 6: Final answer
    x = 4,256.86

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