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Finding the Fourth Proportional to 4,642.07, 6,964.88 and 2,794.50

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Solution

The fourth proportional to 4,642.07, 6,964.88 and 2,794.50 is: 4,192.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,642.07 : 6,964.88 = 2,794.50 : x
  2. Step 2: Convert to fraction form
    4,642.07/6,964.88 = 2,794.50/x
  3. Step 3: Cross multiply
    4,642.07x = 6,964.88 × 2,794.50
  4. Step 4: Simplify right side
    4,642.07x = 19,463,343.19
  5. Step 5: Solve for x
    x = 19,463,343.19/4,642.07
  6. Step 6: Final answer
    x = 4,192.82

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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.