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Finding the Fourth Proportional to 4,600.90, 6,903.40 and 2,409.12

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Solution

The fourth proportional to 4,600.90, 6,903.40 and 2,409.12 is: 3,614.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,600.90 : 6,903.40 = 2,409.12 : x
  2. Step 2: Convert to fraction form
    4,600.90/6,903.40 = 2,409.12/x
  3. Step 3: Cross multiply
    4,600.90x = 6,903.40 × 2,409.12
  4. Step 4: Simplify right side
    4,600.90x = 16,631,104.86
  5. Step 5: Solve for x
    x = 16,631,104.86/4,600.90
  6. Step 6: Final answer
    x = 3,614.75

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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.