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Finding the Fourth Proportional to 4,304.09, 6,459.59 and 2,224.70

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Solution

The fourth proportional to 4,304.09, 6,459.59 and 2,224.70 is: 3,338.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,304.09 : 6,459.59 = 2,224.70 : x
  2. Step 2: Convert to fraction form
    4,304.09/6,459.59 = 2,224.70/x
  3. Step 3: Cross multiply
    4,304.09x = 6,459.59 × 2,224.70
  4. Step 4: Simplify right side
    4,304.09x = 14,370,641.04
  5. Step 5: Solve for x
    x = 14,370,641.04/4,304.09
  6. Step 6: Final answer
    x = 3,338.84

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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.