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Finding the Fourth Proportional to 5,618.59, 8,428.20 and 1,920.31

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Solution

The fourth proportional to 5,618.59, 8,428.20 and 1,920.31 is: 2,880.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,618.59 : 8,428.20 = 1,920.31 : x
  2. Step 2: Convert to fraction form
    5,618.59/8,428.20 = 1,920.31/x
  3. Step 3: Cross multiply
    5,618.59x = 8,428.20 × 1,920.31
  4. Step 4: Simplify right side
    5,618.59x = 16,184,756.74
  5. Step 5: Solve for x
    x = 16,184,756.74/5,618.59
  6. Step 6: Final answer
    x = 2,880.57

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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.