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Finding the Fourth Proportional to 4,770.72, 7,147.60 and 4,070.27

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Solution

The fourth proportional to 4,770.72, 7,147.60 and 4,070.27 is: 6,098.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,770.72 : 7,147.60 = 4,070.27 : x
  2. Step 2: Convert to fraction form
    4,770.72/7,147.60 = 4,070.27/x
  3. Step 3: Cross multiply
    4,770.72x = 7,147.60 × 4,070.27
  4. Step 4: Simplify right side
    4,770.72x = 29,092,669.55
  5. Step 5: Solve for x
    x = 29,092,669.55/4,770.72
  6. Step 6: Final answer
    x = 6,098.17

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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.