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Finding the Fourth Proportional to 5,596.10, 7,722.82 and 3,078.41

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Solution

The fourth proportional to 5,596.10, 7,722.82 and 3,078.41 is: 4,248.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,596.10 : 7,722.82 = 3,078.41 : x
  2. Step 2: Convert to fraction form
    5,596.10/7,722.82 = 3,078.41/x
  3. Step 3: Cross multiply
    5,596.10x = 7,722.82 × 3,078.41
  4. Step 4: Simplify right side
    5,596.10x = 23,774,006.32
  5. Step 5: Solve for x
    x = 23,774,006.32/5,596.10
  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.