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Finding the Fourth Proportional to 5,200.77, 7,177.04 and 2,842.93

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Solution

The fourth proportional to 5,200.77, 7,177.04 and 2,842.93 is: 3,923.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,200.77 : 7,177.04 = 2,842.93 : x
  2. Step 2: Convert to fraction form
    5,200.77/7,177.04 = 2,842.93/x
  3. Step 3: Cross multiply
    5,200.77x = 7,177.04 × 2,842.93
  4. Step 4: Simplify right side
    5,200.77x = 20,403,808.11
  5. Step 5: Solve for x
    x = 20,403,808.11/5,200.77
  6. Step 6: Final answer
    x = 3,923.23

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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.