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Finding the Fourth Proportional to 5,730.67, 8,599.07 and 2,446.08

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Solution

The fourth proportional to 5,730.67, 8,599.07 and 2,446.08 is: 3,670.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,730.67 : 8,599.07 = 2,446.08 : x
  2. Step 2: Convert to fraction form
    5,730.67/8,599.07 = 2,446.08/x
  3. Step 3: Cross multiply
    5,730.67x = 8,599.07 × 2,446.08
  4. Step 4: Simplify right side
    5,730.67x = 21,034,013.15
  5. Step 5: Solve for x
    x = 21,034,013.15/5,730.67
  6. Step 6: Final answer
    x = 3,670.43

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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.