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Finding the Fourth Proportional to 5,574.79, 7,693.45 and 3,185.16

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Solution

The fourth proportional to 5,574.79, 7,693.45 and 3,185.16 is: 4,395.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,574.79 : 7,693.45 = 3,185.16 : x
  2. Step 2: Convert to fraction form
    5,574.79/7,693.45 = 3,185.16/x
  3. Step 3: Cross multiply
    5,574.79x = 7,693.45 × 3,185.16
  4. Step 4: Simplify right side
    5,574.79x = 24,504,832.39
  5. Step 5: Solve for x
    x = 24,504,832.39/5,574.79
  6. Step 6: Final answer
    x = 4,395.65

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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.