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Finding the Fourth Proportional to 4,285.67, 5,948.90 and 4,181.99

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Solution

The fourth proportional to 4,285.67, 5,948.90 and 4,181.99 is: 5,804.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,285.67 : 5,948.90 = 4,181.99 : x
  2. Step 2: Convert to fraction form
    4,285.67/5,948.90 = 4,181.99/x
  3. Step 3: Cross multiply
    4,285.67x = 5,948.90 × 4,181.99
  4. Step 4: Simplify right side
    4,285.67x = 24,878,205.34
  5. Step 5: Solve for x
    x = 24,878,205.34/4,285.67
  6. Step 6: Final answer
    x = 5,804.98

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.