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Finding the Fourth Proportional to 5,730.66, 7,908.96 and 3,493.86

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Solution

The fourth proportional to 5,730.66, 7,908.96 and 3,493.86 is: 4,821.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,730.66 : 7,908.96 = 3,493.86 : x
  2. Step 2: Convert to fraction form
    5,730.66/7,908.96 = 3,493.86/x
  3. Step 3: Cross multiply
    5,730.66x = 7,908.96 × 3,493.86
  4. Step 4: Simplify right side
    5,730.66x = 27,632,798.99
  5. Step 5: Solve for x
    x = 27,632,798.99/5,730.66
  6. Step 6: Final answer
    x = 4,821.92

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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.