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Finding the Fourth Proportional to 5,596.46, 7,722.94 and 3,078.56

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Solution

The fourth proportional to 5,596.46, 7,722.94 and 3,078.56 is: 4,248.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,596.46 : 7,722.94 = 3,078.56 : x
  2. Step 2: Convert to fraction form
    5,596.46/7,722.94 = 3,078.56/x
  3. Step 3: Cross multiply
    5,596.46x = 7,722.94 × 3,078.56
  4. Step 4: Simplify right side
    5,596.46x = 23,775,534.17
  5. Step 5: Solve for x
    x = 23,775,534.17/5,596.46
  6. Step 6: Final answer
    x = 4,248.32

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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.