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Finding the Fourth Proportional to 5,252.58, 7,840.43 and 4,629.83

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Solution

The fourth proportional to 5,252.58, 7,840.43 and 4,629.83 is: 6,910.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,252.58 : 7,840.43 = 4,629.83 : x
  2. Step 2: Convert to fraction form
    5,252.58/7,840.43 = 4,629.83/x
  3. Step 3: Cross multiply
    5,252.58x = 7,840.43 × 4,629.83
  4. Step 4: Simplify right side
    5,252.58x = 36,299,813.04
  5. Step 5: Solve for x
    x = 36,299,813.04/5,252.58
  6. Step 6: Final answer
    x = 6,910.85

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.