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Finding the Fourth Proportional to 5,322.54, 7,343.86 and 3,197.35

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Solution

The fourth proportional to 5,322.54, 7,343.86 and 3,197.35 is: 4,411.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,322.54 : 7,343.86 = 3,197.35 : x
  2. Step 2: Convert to fraction form
    5,322.54/7,343.86 = 3,197.35/x
  3. Step 3: Cross multiply
    5,322.54x = 7,343.86 × 3,197.35
  4. Step 4: Simplify right side
    5,322.54x = 23,480,890.77
  5. Step 5: Solve for x
    x = 23,480,890.77/5,322.54
  6. Step 6: Final answer
    x = 4,411.59

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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.