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Finding the Fourth Proportional to 3,310.04, 4,964.52 and 1,001

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Solution

The fourth proportional to 3,310.04, 4,964.52 and 1,001 is: 1,501.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,310.04 : 4,964.52 = 1,001 : x
  2. Step 2: Convert to fraction form
    3,310.04/4,964.52 = 1,001/x
  3. Step 3: Cross multiply
    3,310.04x = 4,964.52 × 1,001
  4. Step 4: Simplify right side
    3,310.04x = 4,969,484.52
  5. Step 5: Solve for x
    x = 4,969,484.52/3,310.04
  6. Step 6: Final answer
    x = 1,501.34

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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.