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Finding the Fourth Proportional to 5,322.64, 7,345.56 and 3,083.80

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Solution

The fourth proportional to 5,322.64, 7,345.56 and 3,083.80 is: 4,255.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,322.64 : 7,345.56 = 3,083.80 : x
  2. Step 2: Convert to fraction form
    5,322.64/7,345.56 = 3,083.80/x
  3. Step 3: Cross multiply
    5,322.64x = 7,345.56 × 3,083.80
  4. Step 4: Simplify right side
    5,322.64x = 22,652,237.93
  5. Step 5: Solve for x
    x = 22,652,237.93/5,322.64
  6. Step 6: Final answer
    x = 4,255.83

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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.