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Finding the Fourth Proportional to 5,635.56, 7,777.02 and 3,117.84

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Solution

The fourth proportional to 5,635.56, 7,777.02 and 3,117.84 is: 4,302.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,635.56 : 7,777.02 = 3,117.84 : x
  2. Step 2: Convert to fraction form
    5,635.56/7,777.02 = 3,117.84/x
  3. Step 3: Cross multiply
    5,635.56x = 7,777.02 × 3,117.84
  4. Step 4: Simplify right side
    5,635.56x = 24,247,504.04
  5. Step 5: Solve for x
    x = 24,247,504.04/5,635.56
  6. Step 6: Final answer
    x = 4,302.59

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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.