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Finding the Fourth Proportional to 4,642.70, 6,964.50 and 1,355.72

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Solution

The fourth proportional to 4,642.70, 6,964.50 and 1,355.72 is: 2,033.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,642.70 : 6,964.50 = 1,355.72 : x
  2. Step 2: Convert to fraction form
    4,642.70/6,964.50 = 1,355.72/x
  3. Step 3: Cross multiply
    4,642.70x = 6,964.50 × 1,355.72
  4. Step 4: Simplify right side
    4,642.70x = 9,441,911.94
  5. Step 5: Solve for x
    x = 9,441,911.94/4,642.70
  6. Step 6: Final answer
    x = 2,033.71

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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.