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Finding the Fourth Proportional to 3,426.48, 4,728.69 and 1,935

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Solution

The fourth proportional to 3,426.48, 4,728.69 and 1,935 is: 2,670.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,426.48 : 4,728.69 = 1,935 : x
  2. Step 2: Convert to fraction form
    3,426.48/4,728.69 = 1,935/x
  3. Step 3: Cross multiply
    3,426.48x = 4,728.69 × 1,935
  4. Step 4: Simplify right side
    3,426.48x = 9,150,015.15
  5. Step 5: Solve for x
    x = 9,150,015.15/3,426.48
  6. Step 6: Final answer
    x = 2,670.38

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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.