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Finding the Fourth Proportional to 4,675.48, 7,006.54 and 3,433.14

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Solution

The fourth proportional to 4,675.48, 7,006.54 and 3,433.14 is: 5,144.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,675.48 : 7,006.54 = 3,433.14 : x
  2. Step 2: Convert to fraction form
    4,675.48/7,006.54 = 3,433.14/x
  3. Step 3: Cross multiply
    4,675.48x = 7,006.54 × 3,433.14
  4. Step 4: Simplify right side
    4,675.48x = 24,054,441.67
  5. Step 5: Solve for x
    x = 24,054,441.67/4,675.48
  6. Step 6: Final answer
    x = 5,144.81

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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.