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Finding the Fourth Proportional to 4,285.92, 5,870.12 and 4,033.68

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Solution

The fourth proportional to 4,285.92, 5,870.12 and 4,033.68 is: 5,524.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,285.92 : 5,870.12 = 4,033.68 : x
  2. Step 2: Convert to fraction form
    4,285.92/5,870.12 = 4,033.68/x
  3. Step 3: Cross multiply
    4,285.92x = 5,870.12 × 4,033.68
  4. Step 4: Simplify right side
    4,285.92x = 23,678,185.64
  5. Step 5: Solve for x
    x = 23,678,185.64/4,285.92
  6. Step 6: Final answer
    x = 5,524.64

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.