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Finding the Fourth Proportional to 5,870.64, 8,104.61 and 3,992.25

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Solution

The fourth proportional to 5,870.64, 8,104.61 and 3,992.25 is: 5,511.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,870.64 : 8,104.61 = 3,992.25 : x
  2. Step 2: Convert to fraction form
    5,870.64/8,104.61 = 3,992.25/x
  3. Step 3: Cross multiply
    5,870.64x = 8,104.61 × 3,992.25
  4. Step 4: Simplify right side
    5,870.64x = 32,355,647.19
  5. Step 5: Solve for x
    x = 32,355,647.19/5,870.64
  6. Step 6: Final answer
    x = 5,511.43

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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.