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Finding the Fourth Proportional to 5,495.85, 7,584.10 and 3,137.94

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Solution

The fourth proportional to 5,495.85, 7,584.10 and 3,137.94 is: 4,330.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,495.85 : 7,584.10 = 3,137.94 : x
  2. Step 2: Convert to fraction form
    5,495.85/7,584.10 = 3,137.94/x
  3. Step 3: Cross multiply
    5,495.85x = 7,584.10 × 3,137.94
  4. Step 4: Simplify right side
    5,495.85x = 23,798,442.91
  5. Step 5: Solve for x
    x = 23,798,442.91/5,495.85
  6. Step 6: Final answer
    x = 4,330.26

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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.