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Finding the Fourth Proportional to 5,730.85, 7,897.87 and 4,469.92

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Solution

The fourth proportional to 5,730.85, 7,897.87 and 4,469.92 is: 6,160.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,730.85 : 7,897.87 = 4,469.92 : x
  2. Step 2: Convert to fraction form
    5,730.85/7,897.87 = 4,469.92/x
  3. Step 3: Cross multiply
    5,730.85x = 7,897.87 × 4,469.92
  4. Step 4: Simplify right side
    5,730.85x = 35,302,847.07
  5. Step 5: Solve for x
    x = 35,302,847.07/5,730.85
  6. Step 6: Final answer
    x = 6,160.14

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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.