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Finding the Fourth Proportional to 5,189.74, 7,160.75 and 3,300.64

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Solution

The fourth proportional to 5,189.74, 7,160.75 and 3,300.64 is: 4,554.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,189.74 : 7,160.75 = 3,300.64 : x
  2. Step 2: Convert to fraction form
    5,189.74/7,160.75 = 3,300.64/x
  3. Step 3: Cross multiply
    5,189.74x = 7,160.75 × 3,300.64
  4. Step 4: Simplify right side
    5,189.74x = 23,635,054.42
  5. Step 5: Solve for x
    x = 23,635,054.42/5,189.74
  6. Step 6: Final answer
    x = 4,554.19

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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.