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Finding the Fourth Proportional to 5,495.82, 7,584.24 and 2,977.95

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Solution

The fourth proportional to 5,495.82, 7,584.24 and 2,977.95 is: 4,109.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,495.82 : 7,584.24 = 2,977.95 : x
  2. Step 2: Convert to fraction form
    5,495.82/7,584.24 = 2,977.95/x
  3. Step 3: Cross multiply
    5,495.82x = 7,584.24 × 2,977.95
  4. Step 4: Simplify right side
    5,495.82x = 22,585,434.70
  5. Step 5: Solve for x
    x = 22,585,434.70/5,495.82
  6. Step 6: Final answer
    x = 4,109.57

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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.