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Finding the Fourth Proportional to 5,494.10, 7,578.41 and 3,605.76

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Solution

The fourth proportional to 5,494.10, 7,578.41 and 3,605.76 is: 4,973.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,494.10 : 7,578.41 = 3,605.76 : x
  2. Step 2: Convert to fraction form
    5,494.10/7,578.41 = 3,605.76/x
  3. Step 3: Cross multiply
    5,494.10x = 7,578.41 × 3,605.76
  4. Step 4: Simplify right side
    5,494.10x = 27,325,909.61
  5. Step 5: Solve for x
    x = 27,325,909.61/5,494.10
  6. Step 6: Final answer
    x = 4,973.69

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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.