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Finding the Fourth Proportional to 4,642.67, 6,964.00 and 1,356.03

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Solution

The fourth proportional to 4,642.67, 6,964.00 and 1,356.03 is: 2,034.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,642.67 : 6,964.00 = 1,356.03 : x
  2. Step 2: Convert to fraction form
    4,642.67/6,964.00 = 1,356.03/x
  3. Step 3: Cross multiply
    4,642.67x = 6,964.00 × 1,356.03
  4. Step 4: Simplify right side
    4,642.67x = 9,443,351.32
  5. Step 5: Solve for x
    x = 9,443,351.32/4,642.67
  6. Step 6: Final answer
    x = 2,034.04

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.