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Finding the Fourth Proportional to 4,709.63, 7,065.61 and 3,325.68

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Solution

The fourth proportional to 4,709.63, 7,065.61 and 3,325.68 is: 4,989.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,709.63 : 7,065.61 = 3,325.68 : x
  2. Step 2: Convert to fraction form
    4,709.63/7,065.61 = 3,325.68/x
  3. Step 3: Cross multiply
    4,709.63x = 7,065.61 × 3,325.68
  4. Step 4: Simplify right side
    4,709.63x = 23,497,957.86
  5. Step 5: Solve for x
    x = 23,497,957.86/4,709.63
  6. Step 6: Final answer
    x = 4,989.34

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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.