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Finding the Fourth Proportional to 3,969.02, 5,953.08 and 1,007.46

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Solution

The fourth proportional to 3,969.02, 5,953.08 and 1,007.46 is: 1,511.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,969.02 : 5,953.08 = 1,007.46 : x
  2. Step 2: Convert to fraction form
    3,969.02/5,953.08 = 1,007.46/x
  3. Step 3: Cross multiply
    3,969.02x = 5,953.08 × 1,007.46
  4. Step 4: Simplify right side
    3,969.02x = 5,997,489.98
  5. Step 5: Solve for x
    x = 5,997,489.98/3,969.02
  6. Step 6: Final answer
    x = 1,511.08

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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.