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Finding the Fourth Proportional to 5,695.53, 7,859.01 and 3,177.33

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Solution

The fourth proportional to 5,695.53, 7,859.01 and 3,177.33 is: 4,384.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,695.53 : 7,859.01 = 3,177.33 : x
  2. Step 2: Convert to fraction form
    5,695.53/7,859.01 = 3,177.33/x
  3. Step 3: Cross multiply
    5,695.53x = 7,859.01 × 3,177.33
  4. Step 4: Simplify right side
    5,695.53x = 24,970,668.24
  5. Step 5: Solve for x
    x = 24,970,668.24/5,695.53
  6. Step 6: Final answer
    x = 4,384.26

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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.