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Finding the Fourth Proportional to 4,305.09, 6,461.09 and 2,225.70

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Solution

The fourth proportional to 4,305.09, 6,461.09 and 2,225.70 is: 3,340.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,305.09 : 6,461.09 = 2,225.70 : x
  2. Step 2: Convert to fraction form
    4,305.09/6,461.09 = 2,225.70/x
  3. Step 3: Cross multiply
    4,305.09x = 6,461.09 × 2,225.70
  4. Step 4: Simplify right side
    4,305.09x = 14,380,448.01
  5. Step 5: Solve for x
    x = 14,380,448.01/4,305.09
  6. Step 6: Final answer
    x = 3,340.34

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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.