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Finding the Fourth Proportional to 3,615.16, 5,396.57 and 3,177.76

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Solution

The fourth proportional to 3,615.16, 5,396.57 and 3,177.76 is: 4,743.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,615.16 : 5,396.57 = 3,177.76 : x
  2. Step 2: Convert to fraction form
    3,615.16/5,396.57 = 3,177.76/x
  3. Step 3: Cross multiply
    3,615.16x = 5,396.57 × 3,177.76
  4. Step 4: Simplify right side
    3,615.16x = 17,149,004.28
  5. Step 5: Solve for x
    x = 17,149,004.28/3,615.16
  6. Step 6: Final answer
    x = 4,743.64

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.