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Finding the Fourth Proportional to 5,610.61, 7,742.65 and 3,092.77

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Solution

The fourth proportional to 5,610.61, 7,742.65 and 3,092.77 is: 4,268.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,610.61 : 7,742.65 = 3,092.77 : x
  2. Step 2: Convert to fraction form
    5,610.61/7,742.65 = 3,092.77/x
  3. Step 3: Cross multiply
    5,610.61x = 7,742.65 × 3,092.77
  4. Step 4: Simplify right side
    5,610.61x = 23,946,200.94
  5. Step 5: Solve for x
    x = 23,946,200.94/5,610.61
  6. Step 6: Final answer
    x = 4,268.02

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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.