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Finding the Fourth Proportional to 5,164.48, 7,125.60 and 3,302.56

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Solution

The fourth proportional to 5,164.48, 7,125.60 and 3,302.56 is: 4,556.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,164.48 : 7,125.60 = 3,302.56 : x
  2. Step 2: Convert to fraction form
    5,164.48/7,125.60 = 3,302.56/x
  3. Step 3: Cross multiply
    5,164.48x = 7,125.60 × 3,302.56
  4. Step 4: Simplify right side
    5,164.48x = 23,532,721.54
  5. Step 5: Solve for x
    x = 23,532,721.54/5,164.48
  6. Step 6: Final answer
    x = 4,556.65

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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.