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Finding the Fourth Proportional to 7,048.56, 9,727.08 and 3,905.04

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Solution

The fourth proportional to 7,048.56, 9,727.08 and 3,905.04 is: 5,388.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,048.56 : 9,727.08 = 3,905.04 : x
  2. Step 2: Convert to fraction form
    7,048.56/9,727.08 = 3,905.04/x
  3. Step 3: Cross multiply
    7,048.56x = 9,727.08 × 3,905.04
  4. Step 4: Simplify right side
    7,048.56x = 37,984,636.48
  5. Step 5: Solve for x
    x = 37,984,636.48/7,048.56
  6. Step 6: Final answer
    x = 5,388.99

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.