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Finding the Fourth Proportional to 5,293.76, 7,305.36 and 3,197.48

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Solution

The fourth proportional to 5,293.76, 7,305.36 and 3,197.48 is: 4,412.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,293.76 : 7,305.36 = 3,197.48 : x
  2. Step 2: Convert to fraction form
    5,293.76/7,305.36 = 3,197.48/x
  3. Step 3: Cross multiply
    5,293.76x = 7,305.36 × 3,197.48
  4. Step 4: Simplify right side
    5,293.76x = 23,358,742.49
  5. Step 5: Solve for x
    x = 23,358,742.49/5,293.76
  6. Step 6: Final answer
    x = 4,412.51

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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.