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Finding the Fourth Proportional to 5,828.76, 8,049.60 and 3,840.84

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Solution

The fourth proportional to 5,828.76, 8,049.60 and 3,840.84 is: 5,304.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,828.76 : 8,049.60 = 3,840.84 : x
  2. Step 2: Convert to fraction form
    5,828.76/8,049.60 = 3,840.84/x
  3. Step 3: Cross multiply
    5,828.76x = 8,049.60 × 3,840.84
  4. Step 4: Simplify right side
    5,828.76x = 30,917,225.66
  5. Step 5: Solve for x
    x = 30,917,225.66/5,828.76
  6. Step 6: Final answer
    x = 5,304.25

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1.5x scale

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.