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Finding the Fourth Proportional to 4,304.96, 6,459.16 and 1,966.07

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Solution

The fourth proportional to 4,304.96, 6,459.16 and 1,966.07 is: 2,949.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,304.96 : 6,459.16 = 1,966.07 : x
  2. Step 2: Convert to fraction form
    4,304.96/6,459.16 = 1,966.07/x
  3. Step 3: Cross multiply
    4,304.96x = 6,459.16 × 1,966.07
  4. Step 4: Simplify right side
    4,304.96x = 12,699,160.70
  5. Step 5: Solve for x
    x = 12,699,160.70/4,304.96
  6. Step 6: Final answer
    x = 2,949.89

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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.