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Finding the Fourth Proportional to 5,730.53, 7,907.70 and 3,178.09

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Solution

The fourth proportional to 5,730.53, 7,907.70 and 3,178.09 is: 4,385.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,730.53 : 7,907.70 = 3,178.09 : x
  2. Step 2: Convert to fraction form
    5,730.53/7,907.70 = 3,178.09/x
  3. Step 3: Cross multiply
    5,730.53x = 7,907.70 × 3,178.09
  4. Step 4: Simplify right side
    5,730.53x = 25,131,404.10
  5. Step 5: Solve for x
    x = 25,131,404.10/5,730.53
  6. Step 6: Final answer
    x = 4,385.53

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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.