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Finding the Fourth Proportional to 4,675.68, 7,002.72 and 3,630.24

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Solution

The fourth proportional to 4,675.68, 7,002.72 and 3,630.24 is: 5,436.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,675.68 : 7,002.72 = 3,630.24 : x
  2. Step 2: Convert to fraction form
    4,675.68/7,002.72 = 3,630.24/x
  3. Step 3: Cross multiply
    4,675.68x = 7,002.72 × 3,630.24
  4. Step 4: Simplify right side
    4,675.68x = 25,421,554.25
  5. Step 5: Solve for x
    x = 25,421,554.25/4,675.68
  6. Step 6: Final answer
    x = 5,436.97

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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.