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Finding the Fourth Proportional to 5,326.65, 7,350.43 and 3,202.53

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Solution

The fourth proportional to 5,326.65, 7,350.43 and 3,202.53 is: 4,419.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,326.65 : 7,350.43 = 3,202.53 : x
  2. Step 2: Convert to fraction form
    5,326.65/7,350.43 = 3,202.53/x
  3. Step 3: Cross multiply
    5,326.65x = 7,350.43 × 3,202.53
  4. Step 4: Simplify right side
    5,326.65x = 23,539,972.59
  5. Step 5: Solve for x
    x = 23,539,972.59/5,326.65
  6. Step 6: Final answer
    x = 4,419.28

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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.