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Finding the Fourth Proportional to 3,482.49, 5,227.54 and 1,403.93

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Solution

The fourth proportional to 3,482.49, 5,227.54 and 1,403.93 is: 2,107.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,482.49 : 5,227.54 = 1,403.93 : x
  2. Step 2: Convert to fraction form
    3,482.49/5,227.54 = 1,403.93/x
  3. Step 3: Cross multiply
    3,482.49x = 5,227.54 × 1,403.93
  4. Step 4: Simplify right side
    3,482.49x = 7,339,109.79
  5. Step 5: Solve for x
    x = 7,339,109.79/3,482.49
  6. Step 6: Final answer
    x = 2,107.43

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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.