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Finding the Fourth Proportional to 4,839.76, 7,260.84 and 1,552.77

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Solution

The fourth proportional to 4,839.76, 7,260.84 and 1,552.77 is: 2,329.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,839.76 : 7,260.84 = 1,552.77 : x
  2. Step 2: Convert to fraction form
    4,839.76/7,260.84 = 1,552.77/x
  3. Step 3: Cross multiply
    4,839.76x = 7,260.84 × 1,552.77
  4. Step 4: Simplify right side
    4,839.76x = 11,274,414.53
  5. Step 5: Solve for x
    x = 11,274,414.53/4,839.76
  6. Step 6: Final answer
    x = 2,329.54

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1.5x scale

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.