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Finding the Fourth Proportional to 5,730.22, 8,585.61 and 5,185.90

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Solution

The fourth proportional to 5,730.22, 8,585.61 and 5,185.90 is: 7,770.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,730.22 : 8,585.61 = 5,185.90 : x
  2. Step 2: Convert to fraction form
    5,730.22/8,585.61 = 5,185.90/x
  3. Step 3: Cross multiply
    5,730.22x = 8,585.61 × 5,185.90
  4. Step 4: Simplify right side
    5,730.22x = 44,524,114.90
  5. Step 5: Solve for x
    x = 44,524,114.90/5,730.22
  6. Step 6: Final answer
    x = 7,770.05

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