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Finding the Fourth Proportional to 4,688.86, 7,035.74 and 3,400.96

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Solution

The fourth proportional to 4,688.86, 7,035.74 and 3,400.96 is: 5,103.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,688.86 : 7,035.74 = 3,400.96 : x
  2. Step 2: Convert to fraction form
    4,688.86/7,035.74 = 3,400.96/x
  3. Step 3: Cross multiply
    4,688.86x = 7,035.74 × 3,400.96
  4. Step 4: Simplify right side
    4,688.86x = 23,928,253.31
  5. Step 5: Solve for x
    x = 23,928,253.31/4,688.86
  6. Step 6: Final answer
    x = 5,103.21

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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.