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Finding the Fourth Proportional to 5,338.40, 7,361.54 and 4,594.82

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Solution

The fourth proportional to 5,338.40, 7,361.54 and 4,594.82 is: 6,336.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,338.40 : 7,361.54 = 4,594.82 : x
  2. Step 2: Convert to fraction form
    5,338.40/7,361.54 = 4,594.82/x
  3. Step 3: Cross multiply
    5,338.40x = 7,361.54 × 4,594.82
  4. Step 4: Simplify right side
    5,338.40x = 33,824,951.22
  5. Step 5: Solve for x
    x = 33,824,951.22/5,338.40
  6. Step 6: Final answer
    x = 6,336.16

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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.