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Finding the Fourth Proportional to 5,150.64, 7,721.82 and 4,740.54

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Solution

The fourth proportional to 5,150.64, 7,721.82 and 4,740.54 is: 7,107.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,150.64 : 7,721.82 = 4,740.54 : x
  2. Step 2: Convert to fraction form
    5,150.64/7,721.82 = 4,740.54/x
  3. Step 3: Cross multiply
    5,150.64x = 7,721.82 × 4,740.54
  4. Step 4: Simplify right side
    5,150.64x = 36,605,596.58
  5. Step 5: Solve for x
    x = 36,605,596.58/5,150.64
  6. Step 6: Final answer
    x = 7,107.00

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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.