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Finding the Fourth Proportional to 5,730.55, 7,906.42 and 3,710.77

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Solution

The fourth proportional to 5,730.55, 7,906.42 and 3,710.77 is: 5,119.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,730.55 : 7,906.42 = 3,710.77 : x
  2. Step 2: Convert to fraction form
    5,730.55/7,906.42 = 3,710.77/x
  3. Step 3: Cross multiply
    5,730.55x = 7,906.42 × 3,710.77
  4. Step 4: Simplify right side
    5,730.55x = 29,338,906.14
  5. Step 5: Solve for x
    x = 29,338,906.14/5,730.55
  6. Step 6: Final answer
    x = 5,119.74

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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.