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Finding the Fourth Proportional to 5,948.76, 8,212.14 and 4,181.88

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Solution

The fourth proportional to 5,948.76, 8,212.14 and 4,181.88 is: 5,773.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,948.76 : 8,212.14 = 4,181.88 : x
  2. Step 2: Convert to fraction form
    5,948.76/8,212.14 = 4,181.88/x
  3. Step 3: Cross multiply
    5,948.76x = 8,212.14 × 4,181.88
  4. Step 4: Simplify right side
    5,948.76x = 34,342,184.02
  5. Step 5: Solve for x
    x = 34,342,184.02/5,948.76
  6. Step 6: Final answer
    x = 5,773.00

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.