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Finding the Fourth Proportional to 3,854.16, 5,783.98 and 3,482.37

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Solution

The fourth proportional to 3,854.16, 5,783.98 and 3,482.37 is: 5,226.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,854.16 : 5,783.98 = 3,482.37 : x
  2. Step 2: Convert to fraction form
    3,854.16/5,783.98 = 3,482.37/x
  3. Step 3: Cross multiply
    3,854.16x = 5,783.98 × 3,482.37
  4. Step 4: Simplify right side
    3,854.16x = 20,141,958.43
  5. Step 5: Solve for x
    x = 20,141,958.43/3,854.16
  6. Step 6: Final answer
    x = 5,226.03

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.