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Finding the Fourth Proportional to 5,730.93, 7,908.15 and 3,212.64

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Solution

The fourth proportional to 5,730.93, 7,908.15 and 3,212.64 is: 4,433.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,730.93 : 7,908.15 = 3,212.64 : x
  2. Step 2: Convert to fraction form
    5,730.93/7,908.15 = 3,212.64/x
  3. Step 3: Cross multiply
    5,730.93x = 7,908.15 × 3,212.64
  4. Step 4: Simplify right side
    5,730.93x = 25,406,039.02
  5. Step 5: Solve for x
    x = 25,406,039.02/5,730.93
  6. Step 6: Final answer
    x = 4,433.14

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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.