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Finding the Fourth Proportional to 5,836.92, 8,765.82 and 5,602.02

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Solution

The fourth proportional to 5,836.92, 8,765.82 and 5,602.02 is: 8,413.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,836.92 : 8,765.82 = 5,602.02 : x
  2. Step 2: Convert to fraction form
    5,836.92/8,765.82 = 5,602.02/x
  3. Step 3: Cross multiply
    5,836.92x = 8,765.82 × 5,602.02
  4. Step 4: Simplify right side
    5,836.92x = 49,106,298.96
  5. Step 5: Solve for x
    x = 49,106,298.96/5,836.92
  6. Step 6: Final answer
    x = 8,413.05

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.