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Finding the Fourth Proportional to 4,689.35, 7,035.85 and 4,618.96

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Solution

The fourth proportional to 4,689.35, 7,035.85 and 4,618.96 is: 6,930.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,689.35 : 7,035.85 = 4,618.96 : x
  2. Step 2: Convert to fraction form
    4,689.35/7,035.85 = 4,618.96/x
  3. Step 3: Cross multiply
    4,689.35x = 7,035.85 × 4,618.96
  4. Step 4: Simplify right side
    4,689.35x = 32,498,289.37
  5. Step 5: Solve for x
    x = 32,498,289.37/4,689.35
  6. Step 6: Final answer
    x = 6,930.23

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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.