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Finding the Fourth Proportional to 4,784.72, 7,170.17 and 3,302.42

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Solution

The fourth proportional to 4,784.72, 7,170.17 and 3,302.42 is: 4,948.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,784.72 : 7,170.17 = 3,302.42 : x
  2. Step 2: Convert to fraction form
    4,784.72/7,170.17 = 3,302.42/x
  3. Step 3: Cross multiply
    4,784.72x = 7,170.17 × 3,302.42
  4. Step 4: Simplify right side
    4,784.72x = 23,678,860.45
  5. Step 5: Solve for x
    x = 23,678,860.45/4,784.72
  6. Step 6: Final answer
    x = 4,948.85

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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.