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Finding the Fourth Proportional to 5,322.94, 7,345.62 and 3,084.78

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Solution

The fourth proportional to 5,322.94, 7,345.62 and 3,084.78 is: 4,256.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,322.94 : 7,345.62 = 3,084.78 : x
  2. Step 2: Convert to fraction form
    5,322.94/7,345.62 = 3,084.78/x
  3. Step 3: Cross multiply
    5,322.94x = 7,345.62 × 3,084.78
  4. Step 4: Simplify right side
    5,322.94x = 22,659,621.66
  5. Step 5: Solve for x
    x = 22,659,621.66/5,322.94
  6. Step 6: Final answer
    x = 4,256.97

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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.