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Finding the Fourth Proportional to 4,810.42, 7,205.50 and 4,077.43

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Solution

The fourth proportional to 4,810.42, 7,205.50 and 4,077.43 is: 6,107.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,810.42 : 7,205.50 = 4,077.43 : x
  2. Step 2: Convert to fraction form
    4,810.42/7,205.50 = 4,077.43/x
  3. Step 3: Cross multiply
    4,810.42x = 7,205.50 × 4,077.43
  4. Step 4: Simplify right side
    4,810.42x = 29,379,893.66
  5. Step 5: Solve for x
    x = 29,379,893.66/4,810.42
  6. Step 6: Final answer
    x = 6,107.56

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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.