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Finding the Fourth Proportional to 4,606.69, 6,908.78 and 1,972.89

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Solution

The fourth proportional to 4,606.69, 6,908.78 and 1,972.89 is: 2,958.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,606.69 : 6,908.78 = 1,972.89 : x
  2. Step 2: Convert to fraction form
    4,606.69/6,908.78 = 1,972.89/x
  3. Step 3: Cross multiply
    4,606.69x = 6,908.78 × 1,972.89
  4. Step 4: Simplify right side
    4,606.69x = 13,630,256.81
  5. Step 5: Solve for x
    x = 13,630,256.81/4,606.69
  6. Step 6: Final answer
    x = 2,958.80

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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.