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Finding the Fourth Proportional to 5,304, 7,320.42 and 3,065.46

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Solution

The fourth proportional to 5,304, 7,320.42 and 3,065.46 is: 4,230.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,304 : 7,320.42 = 3,065.46 : x
  2. Step 2: Convert to fraction form
    5,304/7,320.42 = 3,065.46/x
  3. Step 3: Cross multiply
    5,304x = 7,320.42 × 3,065.46
  4. Step 4: Simplify right side
    5,304x = 22,440,454.69
  5. Step 5: Solve for x
    x = 22,440,454.69/5,304
  6. Step 6: Final answer
    x = 4,230.85

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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.