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Finding the Fourth Proportional to 5,943.32, 8,191.98 and 4,219.20

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Solution

The fourth proportional to 5,943.32, 8,191.98 and 4,219.20 is: 5,815.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,943.32 : 8,191.98 = 4,219.20 : x
  2. Step 2: Convert to fraction form
    5,943.32/8,191.98 = 4,219.20/x
  3. Step 3: Cross multiply
    5,943.32x = 8,191.98 × 4,219.20
  4. Step 4: Simplify right side
    5,943.32x = 34,563,602.02
  5. Step 5: Solve for x
    x = 34,563,602.02/5,943.32
  6. Step 6: Final answer
    x = 5,815.54

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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.