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Finding the Fourth Proportional to 4,675.47, 7,010.77 and 4,142.54

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Solution

The fourth proportional to 4,675.47, 7,010.77 and 4,142.54 is: 6,211.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,675.47 : 7,010.77 = 4,142.54 : x
  2. Step 2: Convert to fraction form
    4,675.47/7,010.77 = 4,142.54/x
  3. Step 3: Cross multiply
    4,675.47x = 7,010.77 × 4,142.54
  4. Step 4: Simplify right side
    4,675.47x = 29,042,374.47
  5. Step 5: Solve for x
    x = 29,042,374.47/4,675.47
  6. Step 6: Final answer
    x = 6,211.65

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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.