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Finding the Fourth Proportional to 5,293.54, 7,314.47 and 3,806.38

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Solution

The fourth proportional to 5,293.54, 7,314.47 and 3,806.38 is: 5,259.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,293.54 : 7,314.47 = 3,806.38 : x
  2. Step 2: Convert to fraction form
    5,293.54/7,314.47 = 3,806.38/x
  3. Step 3: Cross multiply
    5,293.54x = 7,314.47 × 3,806.38
  4. Step 4: Simplify right side
    5,293.54x = 27,841,652.32
  5. Step 5: Solve for x
    x = 27,841,652.32/5,293.54
  6. Step 6: Final answer
    x = 5,259.55

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.