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Finding the Fourth Proportional to 5,728.20, 7,905 and 3,490.18

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Solution

The fourth proportional to 5,728.20, 7,905 and 3,490.18 is: 4,816.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,728.20 : 7,905 = 3,490.18 : x
  2. Step 2: Convert to fraction form
    5,728.20/7,905 = 3,490.18/x
  3. Step 3: Cross multiply
    5,728.20x = 7,905 × 3,490.18
  4. Step 4: Simplify right side
    5,728.20x = 27,589,872.90
  5. Step 5: Solve for x
    x = 27,589,872.90/5,728.20
  6. Step 6: Final answer
    x = 4,816.50

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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.