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Finding the Fourth Proportional to 5,730.16, 8,599.20 and 2,267.68

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Solution

The fourth proportional to 5,730.16, 8,599.20 and 2,267.68 is: 3,403.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,730.16 : 8,599.20 = 2,267.68 : x
  2. Step 2: Convert to fraction form
    5,730.16/8,599.20 = 2,267.68/x
  3. Step 3: Cross multiply
    5,730.16x = 8,599.20 × 2,267.68
  4. Step 4: Simplify right side
    5,730.16x = 19,500,233.86
  5. Step 5: Solve for x
    x = 19,500,233.86/5,730.16
  6. Step 6: Final answer
    x = 3,403.09

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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.