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Finding the Fourth Proportional to 5,695.01, 7,859.12 and 3,177.05

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Solution

The fourth proportional to 5,695.01, 7,859.12 and 3,177.05 is: 4,384.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,695.01 : 7,859.12 = 3,177.05 : x
  2. Step 2: Convert to fraction form
    5,695.01/7,859.12 = 3,177.05/x
  3. Step 3: Cross multiply
    5,695.01x = 7,859.12 × 3,177.05
  4. Step 4: Simplify right side
    5,695.01x = 24,968,824.09
  5. Step 5: Solve for x
    x = 24,968,824.09/5,695.01
  6. Step 6: Final answer
    x = 4,384.33

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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.